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Finding the Third Proportional to 514.97 and 1,098.28

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Solution

The third proportional to 514.97 and 1,098.28 is: 2,342.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.97 : 1,098.28 = 1,098.28 : x
  2. Step 2: Convert to fraction form
    514.97/1,098.28 = 1,098.28/x
  3. Step 3: Cross multiply
    514.97x = 1,098.28 × 1,098.28
  4. Step 4: Simplify right side
    514.97x = 1,206,221.70
  5. Step 5: Solve for x
    x = 1,206,221.70/514.97
  6. Step 6: Final answer
    x = 2,342.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.