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Finding the Third Proportional to 267,711.75 and 584,257.50

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Solution

The third proportional to 267,711.75 and 584,257.50 is: 1,275,090.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,711.75 : 584,257.50 = 584,257.50 : x
  2. Step 2: Convert to fraction form
    267,711.75/584,257.50 = 584,257.50/x
  3. Step 3: Cross multiply
    267,711.75x = 584,257.50 × 584,257.50
  4. Step 4: Simplify right side
    267,711.75x = 341,356,826,306.25
  5. Step 5: Solve for x
    x = 341,356,826,306.25/267,711.75
  6. Step 6: Final answer
    x = 1,275,090.94

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.