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Finding the Third Proportional to 267,434 and 587,359

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Solution

The third proportional to 267,434 and 587,359 is: 1,290,002.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,434 : 587,359 = 587,359 : x
  2. Step 2: Convert to fraction form
    267,434/587,359 = 587,359/x
  3. Step 3: Cross multiply
    267,434x = 587,359 × 587,359
  4. Step 4: Simplify right side
    267,434x = 344,990,594,881
  5. Step 5: Solve for x
    x = 344,990,594,881/267,434
  6. Step 6: Final answer
    x = 1,290,002.75

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.