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Finding the Third Proportional to 267,849 and 363,770

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Solution

The third proportional to 267,849 and 363,770 is: 494,041.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,849 : 363,770 = 363,770 : x
  2. Step 2: Convert to fraction form
    267,849/363,770 = 363,770/x
  3. Step 3: Cross multiply
    267,849x = 363,770 × 363,770
  4. Step 4: Simplify right side
    267,849x = 132,328,612,900
  5. Step 5: Solve for x
    x = 132,328,612,900/267,849
  6. Step 6: Final answer
    x = 494,041.84

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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.