The population of a certain country was approximately 5050 million in​ 1900,175175 million in​ 1950, and 350350 million in 2000. Construct a model for this data by finding a quadratic equation whose graph passes through the points ​(0,5050​), ​(5050​,175175​), and ​(100100​,350350​). Use this model to estimate the population in 2050.

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