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Finding the Third Proportional to 697.68 and 988.14

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Solution

The third proportional to 697.68 and 988.14 is: 1,399.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.68 : 988.14 = 988.14 : x
  2. Step 2: Convert to fraction form
    697.68/988.14 = 988.14/x
  3. Step 3: Cross multiply
    697.68x = 988.14 × 988.14
  4. Step 4: Simplify right side
    697.68x = 976,414.17
  5. Step 5: Solve for x
    x = 976,414.17/697.68
  6. Step 6: Final answer
    x = 1,399.52

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.