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Finding the Third Proportional to 200,513 and 445,857.25

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Solution

The third proportional to 200,513 and 445,857.25 is: 991,400.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,513 : 445,857.25 = 445,857.25 : x
  2. Step 2: Convert to fraction form
    200,513/445,857.25 = 445,857.25/x
  3. Step 3: Cross multiply
    200,513x = 445,857.25 × 445,857.25
  4. Step 4: Simplify right side
    200,513x = 198,788,687,377.56
  5. Step 5: Solve for x
    x = 198,788,687,377.56/200,513
  6. Step 6: Final answer
    x = 991,400.49

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