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Finding the Third Proportional to 267,460 and 587,400

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Solution

The third proportional to 267,460 and 587,400 is: 1,290,057.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,460 : 587,400 = 587,400 : x
  2. Step 2: Convert to fraction form
    267,460/587,400 = 587,400/x
  3. Step 3: Cross multiply
    267,460x = 587,400 × 587,400
  4. Step 4: Simplify right side
    267,460x = 345,038,760,000
  5. Step 5: Solve for x
    x = 345,038,760,000/267,460
  6. Step 6: Final answer
    x = 1,290,057.43

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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.