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Finding the Third Proportional to 267,713.25 and 584,260.50

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Solution

The third proportional to 267,713.25 and 584,260.50 is: 1,275,096.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,713.25 : 584,260.50 = 584,260.50 : x
  2. Step 2: Convert to fraction form
    267,713.25/584,260.50 = 584,260.50/x
  3. Step 3: Cross multiply
    267,713.25x = 584,260.50 × 584,260.50
  4. Step 4: Simplify right side
    267,713.25x = 341,360,331,860.25
  5. Step 5: Solve for x
    x = 341,360,331,860.25/267,713.25
  6. Step 6: Final answer
    x = 1,275,096.89

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Why These Related Problems?

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