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Finding the Third Proportional to 267,972 and 557,996

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Solution

The third proportional to 267,972 and 557,996 is: 1,161,910.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,972 : 557,996 = 557,996 : x
  2. Step 2: Convert to fraction form
    267,972/557,996 = 557,996/x
  3. Step 3: Cross multiply
    267,972x = 557,996 × 557,996
  4. Step 4: Simplify right side
    267,972x = 311,359,536,016
  5. Step 5: Solve for x
    x = 311,359,536,016/267,972
  6. Step 6: Final answer
    x = 1,161,910.71

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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.