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Finding the Third Proportional to 361,870 and 532,279

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Solution

The third proportional to 361,870 and 532,279 is: 782,935.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,870 : 532,279 = 532,279 : x
  2. Step 2: Convert to fraction form
    361,870/532,279 = 532,279/x
  3. Step 3: Cross multiply
    361,870x = 532,279 × 532,279
  4. Step 4: Simplify right side
    361,870x = 283,320,933,841
  5. Step 5: Solve for x
    x = 283,320,933,841/361,870
  6. Step 6: Final answer
    x = 782,935.68

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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.