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Finding the Third Proportional to 472,849 and 707,599

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Solution

The third proportional to 472,849 and 707,599 is: 1,058,892.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,849 : 707,599 = 707,599 : x
  2. Step 2: Convert to fraction form
    472,849/707,599 = 707,599/x
  3. Step 3: Cross multiply
    472,849x = 707,599 × 707,599
  4. Step 4: Simplify right side
    472,849x = 500,696,344,801
  5. Step 5: Solve for x
    x = 500,696,344,801/472,849
  6. Step 6: Final answer
    x = 1,058,892.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.