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Finding the Third Proportional to 361,872 and 532,282

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Solution

The third proportional to 361,872 and 532,282 is: 782,940.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,872 : 532,282 = 532,282 : x
  2. Step 2: Convert to fraction form
    361,872/532,282 = 532,282/x
  3. Step 3: Cross multiply
    361,872x = 532,282 × 532,282
  4. Step 4: Simplify right side
    361,872x = 283,324,127,524
  5. Step 5: Solve for x
    x = 283,324,127,524/361,872
  6. Step 6: Final answer
    x = 782,940.18

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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.