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Finding the Third Proportional to 267,414.75 and 389,072.25

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Solution

The third proportional to 267,414.75 and 389,072.25 is: 566,076.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,414.75 : 389,072.25 = 389,072.25 : x
  2. Step 2: Convert to fraction form
    267,414.75/389,072.25 = 389,072.25/x
  3. Step 3: Cross multiply
    267,414.75x = 389,072.25 × 389,072.25
  4. Step 4: Simplify right side
    267,414.75x = 151,377,215,720.06
  5. Step 5: Solve for x
    x = 151,377,215,720.06/267,414.75
  6. Step 6: Final answer
    x = 566,076.54

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.