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Finding the Third Proportional to 267,884 and 363,822

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Solution

The third proportional to 267,884 and 363,822 is: 494,118.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,884 : 363,822 = 363,822 : x
  2. Step 2: Convert to fraction form
    267,884/363,822 = 363,822/x
  3. Step 3: Cross multiply
    267,884x = 363,822 × 363,822
  4. Step 4: Simplify right side
    267,884x = 132,366,447,684
  5. Step 5: Solve for x
    x = 132,366,447,684/267,884
  6. Step 6: Final answer
    x = 494,118.53

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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.