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Finding the Third Proportional to 267,864 and 363,792

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Solution

The third proportional to 267,864 and 363,792 is: 494,073.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,864 : 363,792 = 363,792 : x
  2. Step 2: Convert to fraction form
    267,864/363,792 = 363,792/x
  3. Step 3: Cross multiply
    267,864x = 363,792 × 363,792
  4. Step 4: Simplify right side
    267,864x = 132,344,619,264
  5. Step 5: Solve for x
    x = 132,344,619,264/267,864
  6. Step 6: Final answer
    x = 494,073.93

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.