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Finding the Third Proportional to 267,986.25 and 574,839

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Solution

The third proportional to 267,986.25 and 574,839 is: 1,233,047.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,986.25 : 574,839 = 574,839 : x
  2. Step 2: Convert to fraction form
    267,986.25/574,839 = 574,839/x
  3. Step 3: Cross multiply
    267,986.25x = 574,839 × 574,839
  4. Step 4: Simplify right side
    267,986.25x = 330,439,875,921
  5. Step 5: Solve for x
    x = 330,439,875,921/267,986.25
  6. Step 6: Final answer
    x = 1,233,047.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.