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Finding the Third Proportional to 267,743 and 563,098

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Solution

The third proportional to 267,743 and 563,098 is: 1,184,267.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,743 : 563,098 = 563,098 : x
  2. Step 2: Convert to fraction form
    267,743/563,098 = 563,098/x
  3. Step 3: Cross multiply
    267,743x = 563,098 × 563,098
  4. Step 4: Simplify right side
    267,743x = 317,079,357,604
  5. Step 5: Solve for x
    x = 317,079,357,604/267,743
  6. Step 6: Final answer
    x = 1,184,267.59

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.