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Finding the Third Proportional to 207,806 and 447,398

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Solution

The third proportional to 207,806 and 447,398 is: 963,229.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,806 : 447,398 = 447,398 : x
  2. Step 2: Convert to fraction form
    207,806/447,398 = 447,398/x
  3. Step 3: Cross multiply
    207,806x = 447,398 × 447,398
  4. Step 4: Simplify right side
    207,806x = 200,164,970,404
  5. Step 5: Solve for x
    x = 200,164,970,404/207,806
  6. Step 6: Final answer
    x = 963,229.99

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.