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Finding the Third Proportional to 659.81 and 997.13

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Solution

The third proportional to 659.81 and 997.13 is: 1,506.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.81 : 997.13 = 997.13 : x
  2. Step 2: Convert to fraction form
    659.81/997.13 = 997.13/x
  3. Step 3: Cross multiply
    659.81x = 997.13 × 997.13
  4. Step 4: Simplify right side
    659.81x = 994,258.27
  5. Step 5: Solve for x
    x = 994,258.27/659.81
  6. Step 6: Final answer
    x = 1,506.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.