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Finding the Third Proportional to 267,622 and 415,034

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Solution

The third proportional to 267,622 and 415,034 is: 643,643.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,622 : 415,034 = 415,034 : x
  2. Step 2: Convert to fraction form
    267,622/415,034 = 415,034/x
  3. Step 3: Cross multiply
    267,622x = 415,034 × 415,034
  4. Step 4: Simplify right side
    267,622x = 172,253,221,156
  5. Step 5: Solve for x
    x = 172,253,221,156/267,622
  6. Step 6: Final answer
    x = 643,643.73

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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.