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Finding the Third Proportional to 456,471 and 709,587

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Solution

The third proportional to 456,471 and 709,587 is: 1,103,057.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,471 : 709,587 = 709,587 : x
  2. Step 2: Convert to fraction form
    456,471/709,587 = 709,587/x
  3. Step 3: Cross multiply
    456,471x = 709,587 × 709,587
  4. Step 4: Simplify right side
    456,471x = 503,513,710,569
  5. Step 5: Solve for x
    x = 503,513,710,569/456,471
  6. Step 6: Final answer
    x = 1,103,057.39

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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.