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Finding the Third Proportional to 267,854 and 363,780

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Solution

The third proportional to 267,854 and 363,780 is: 494,059.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,854 : 363,780 = 363,780 : x
  2. Step 2: Convert to fraction form
    267,854/363,780 = 363,780/x
  3. Step 3: Cross multiply
    267,854x = 363,780 × 363,780
  4. Step 4: Simplify right side
    267,854x = 132,335,888,400
  5. Step 5: Solve for x
    x = 132,335,888,400/267,854
  6. Step 6: Final answer
    x = 494,059.78

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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.