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Finding the Third Proportional to 659.75 and 985.88

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Solution

The third proportional to 659.75 and 985.88 is: 1,473.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.75 : 985.88 = 985.88 : x
  2. Step 2: Convert to fraction form
    659.75/985.88 = 985.88/x
  3. Step 3: Cross multiply
    659.75x = 985.88 × 985.88
  4. Step 4: Simplify right side
    659.75x = 971,949.52
  5. Step 5: Solve for x
    x = 971,949.52/659.75
  6. Step 6: Final answer
    x = 1,473.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.