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Finding the Third Proportional to 267,458 and 587,396

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Solution

The third proportional to 267,458 and 587,396 is: 1,290,049.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,458 : 587,396 = 587,396 : x
  2. Step 2: Convert to fraction form
    267,458/587,396 = 587,396/x
  3. Step 3: Cross multiply
    267,458x = 587,396 × 587,396
  4. Step 4: Simplify right side
    267,458x = 345,034,060,816
  5. Step 5: Solve for x
    x = 345,034,060,816/267,458
  6. Step 6: Final answer
    x = 1,290,049.51

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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.