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Finding the Third Proportional to 482,508 and 709,344

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Solution

The third proportional to 482,508 and 709,344 is: 1,042,819.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,508 : 709,344 = 709,344 : x
  2. Step 2: Convert to fraction form
    482,508/709,344 = 709,344/x
  3. Step 3: Cross multiply
    482,508x = 709,344 × 709,344
  4. Step 4: Simplify right side
    482,508x = 503,168,910,336
  5. Step 5: Solve for x
    x = 503,168,910,336/482,508
  6. Step 6: Final answer
    x = 1,042,819.83

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.