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Finding the Third Proportional to 267,708 and 557,598

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Solution

The third proportional to 267,708 and 557,598 is: 1,161,397.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,708 : 557,598 = 557,598 : x
  2. Step 2: Convert to fraction form
    267,708/557,598 = 557,598/x
  3. Step 3: Cross multiply
    267,708x = 557,598 × 557,598
  4. Step 4: Simplify right side
    267,708x = 310,915,529,604
  5. Step 5: Solve for x
    x = 310,915,529,604/267,708
  6. Step 6: Final answer
    x = 1,161,397.98

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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.