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Finding the Third Proportional to 267,062 and 415,911

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Solution

The third proportional to 267,062 and 415,911 is: 647,722.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,062 : 415,911 = 415,911 : x
  2. Step 2: Convert to fraction form
    267,062/415,911 = 415,911/x
  3. Step 3: Cross multiply
    267,062x = 415,911 × 415,911
  4. Step 4: Simplify right side
    267,062x = 172,981,959,921
  5. Step 5: Solve for x
    x = 172,981,959,921/267,062
  6. Step 6: Final answer
    x = 647,722.10

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.