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Finding the Third Proportional to 267,963 and 415,062

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Solution

The third proportional to 267,963 and 415,062 is: 642,911.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,963 : 415,062 = 415,062 : x
  2. Step 2: Convert to fraction form
    267,963/415,062 = 415,062/x
  3. Step 3: Cross multiply
    267,963x = 415,062 × 415,062
  4. Step 4: Simplify right side
    267,963x = 172,276,463,844
  5. Step 5: Solve for x
    x = 172,276,463,844/267,963
  6. Step 6: Final answer
    x = 642,911.39

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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.