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Finding the Third Proportional to 517.97 and 1,126.97

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Solution

The third proportional to 517.97 and 1,126.97 is: 2,452.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.97 : 1,126.97 = 1,126.97 : x
  2. Step 2: Convert to fraction form
    517.97/1,126.97 = 1,126.97/x
  3. Step 3: Cross multiply
    517.97x = 1,126.97 × 1,126.97
  4. Step 4: Simplify right side
    517.97x = 1,270,058.56
  5. Step 5: Solve for x
    x = 1,270,058.56/517.97
  6. Step 6: Final answer
    x = 2,452.00

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.