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Finding the Third Proportional to 267,096 and 587,952

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Solution

The third proportional to 267,096 and 587,952 is: 1,294,244.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,096 : 587,952 = 587,952 : x
  2. Step 2: Convert to fraction form
    267,096/587,952 = 587,952/x
  3. Step 3: Cross multiply
    267,096x = 587,952 × 587,952
  4. Step 4: Simplify right side
    267,096x = 345,687,554,304
  5. Step 5: Solve for x
    x = 345,687,554,304/267,096
  6. Step 6: Final answer
    x = 1,294,244.59

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Why These Related Problems?

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