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Finding the Third Proportional to 267,453 and 415,463

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Solution

The third proportional to 267,453 and 415,463 is: 645,382.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,453 : 415,463 = 415,463 : x
  2. Step 2: Convert to fraction form
    267,453/415,463 = 415,463/x
  3. Step 3: Cross multiply
    267,453x = 415,463 × 415,463
  4. Step 4: Simplify right side
    267,453x = 172,609,504,369
  5. Step 5: Solve for x
    x = 172,609,504,369/267,453
  6. Step 6: Final answer
    x = 645,382.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.