I have done some study on WLW over the years - even did my masters thesis on it. One of those who I interviewed at that time was Jack Gray who was living in the Mason, Ohio area where the WLW transmitter and tower were located. He had been an engineer at WLW when they were 500,000 watts which was basically the years 1934-1939. He related to me that one night, some experimental activity was done and as a part of that, the power was increased to 750,000 watts.
During my conversations with him, Mr. Gray related some thoughts on the decision made by the federal government to have WLW reduce power back to 50,000 watts. Some of it was based on complaints by other stations that the 500,000 watts was interfering with their signals. This particularly involved a station in Toronto and resulted in WLW engineers building a smaller tower to the south of the WLW tower to try and direct the powerful signal away from Toronto (which actually resulted in WLW's signal being stronger to the south). It was also pointed out that politics could have played a part in the decision as the Franklin Roosevelt administration was in power at the time and station owner Powell Crosley, Jr. was a staunch republican.
Despite all of the research that I did for that thesis and in the studies I did both before and afterward, it has never been clear to me just how far WLW was heard on a regular basis when they were 500,000 watts. I've heard that the daytime signal was so great that the station could be clearly received many hundreds of miles away. I've even heard that it could also be received in downtown Los Angeles. I do recall being told that even if a radio station increases its power ten times over what it was (50,000 watts to 500,000 watts) doesn't mean it can be heard ten times farther. Of course, suffice to say during that 1934-1939 period, WLW covered quite a few miles. It might be noted that even after the power was restored to 50,000 watts, WLW's 700 k.c. frequency was on a clear channel.