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Finding the Third Proportional to 267,050 and 541,468

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Solution

The third proportional to 267,050 and 541,468 is: 1,097,875.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,050 : 541,468 = 541,468 : x
  2. Step 2: Convert to fraction form
    267,050/541,468 = 541,468/x
  3. Step 3: Cross multiply
    267,050x = 541,468 × 541,468
  4. Step 4: Simplify right side
    267,050x = 293,187,595,024
  5. Step 5: Solve for x
    x = 293,187,595,024/267,050
  6. Step 6: Final answer
    x = 1,097,875.29

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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.