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Finding the Third Proportional to 267,474 and 557,367

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Solution

The third proportional to 267,474 and 557,367 is: 1,161,451.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,474 : 557,367 = 557,367 : x
  2. Step 2: Convert to fraction form
    267,474/557,367 = 557,367/x
  3. Step 3: Cross multiply
    267,474x = 557,367 × 557,367
  4. Step 4: Simplify right side
    267,474x = 310,657,972,689
  5. Step 5: Solve for x
    x = 310,657,972,689/267,474
  6. Step 6: Final answer
    x = 1,161,451.10

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.