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Finding the Third Proportional to 482,555 and 709,782

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Solution

The third proportional to 482,555 and 709,782 is: 1,044,006.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,555 : 709,782 = 709,782 : x
  2. Step 2: Convert to fraction form
    482,555/709,782 = 709,782/x
  3. Step 3: Cross multiply
    482,555x = 709,782 × 709,782
  4. Step 4: Simplify right side
    482,555x = 503,790,487,524
  5. Step 5: Solve for x
    x = 503,790,487,524/482,555
  6. Step 6: Final answer
    x = 1,044,006.36

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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.