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Finding the Third Proportional to 200,757 and 445,801

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Solution

The third proportional to 200,757 and 445,801 is: 989,945.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,757 : 445,801 = 445,801 : x
  2. Step 2: Convert to fraction form
    200,757/445,801 = 445,801/x
  3. Step 3: Cross multiply
    200,757x = 445,801 × 445,801
  4. Step 4: Simplify right side
    200,757x = 198,738,531,601
  5. Step 5: Solve for x
    x = 198,738,531,601/200,757
  6. Step 6: Final answer
    x = 989,945.71

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.