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Finding the Third Proportional to 451,747.13 and 726,463.69

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Solution

The third proportional to 451,747.13 and 726,463.69 is: 1,168,240.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,747.13 : 726,463.69 = 726,463.69 : x
  2. Step 2: Convert to fraction form
    451,747.13/726,463.69 = 726,463.69/x
  3. Step 3: Cross multiply
    451,747.13x = 726,463.69 × 726,463.69
  4. Step 4: Simplify right side
    451,747.13x = 527,749,489,256.10
  5. Step 5: Solve for x
    x = 527,749,489,256.10/451,747.13
  6. Step 6: Final answer
    x = 1,168,240.95

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.