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Finding the Third Proportional to 267,016 and 541,400

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Solution

The third proportional to 267,016 and 541,400 is: 1,097,739.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,016 : 541,400 = 541,400 : x
  2. Step 2: Convert to fraction form
    267,016/541,400 = 541,400/x
  3. Step 3: Cross multiply
    267,016x = 541,400 × 541,400
  4. Step 4: Simplify right side
    267,016x = 293,113,960,000
  5. Step 5: Solve for x
    x = 293,113,960,000/267,016
  6. Step 6: Final answer
    x = 1,097,739.31

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.