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Finding the Third Proportional to 697.88 and 1,517.13

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Solution

The third proportional to 697.88 and 1,517.13 is: 3,298.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.88 : 1,517.13 = 1,517.13 : x
  2. Step 2: Convert to fraction form
    697.88/1,517.13 = 1,517.13/x
  3. Step 3: Cross multiply
    697.88x = 1,517.13 × 1,517.13
  4. Step 4: Simplify right side
    697.88x = 2,301,668.27
  5. Step 5: Solve for x
    x = 2,301,668.27/697.88
  6. Step 6: Final answer
    x = 3,298.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.