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Finding the Third Proportional to 267,419.25 and 587,319.75

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Solution

The third proportional to 267,419.25 and 587,319.75 is: 1,289,901.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,419.25 : 587,319.75 = 587,319.75 : x
  2. Step 2: Convert to fraction form
    267,419.25/587,319.75 = 587,319.75/x
  3. Step 3: Cross multiply
    267,419.25x = 587,319.75 × 587,319.75
  4. Step 4: Simplify right side
    267,419.25x = 344,944,488,740.06
  5. Step 5: Solve for x
    x = 344,944,488,740.06/267,419.25
  6. Step 6: Final answer
    x = 1,289,901.49

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