Disney’s $563 million purchase earlier this month of Playdom had its skeptics, but a new survey showing the reach of the social game market could silence the deal’s critics.

The NPD Group, which tracks the sales of video games, reports that 20 percent of the U.S. population has played a game on Facebook or some other social network in the past three months. That works out to 56.8 million people tending virtual farms or collecting virtual bugs.

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