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Finding the Third Proportional to 456,472 and 709,626

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Solution

The third proportional to 456,472 and 709,626 is: 1,103,176.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,472 : 709,626 = 709,626 : x
  2. Step 2: Convert to fraction form
    456,472/709,626 = 709,626/x
  3. Step 3: Cross multiply
    456,472x = 709,626 × 709,626
  4. Step 4: Simplify right side
    456,472x = 503,569,059,876
  5. Step 5: Solve for x
    x = 503,569,059,876/456,472
  6. Step 6: Final answer
    x = 1,103,176.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.