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Finding the Third Proportional to 659.25 and 887.44

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Solution

The third proportional to 659.25 and 887.44 is: 1,194.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.25 : 887.44 = 887.44 : x
  2. Step 2: Convert to fraction form
    659.25/887.44 = 887.44/x
  3. Step 3: Cross multiply
    659.25x = 887.44 × 887.44
  4. Step 4: Simplify right side
    659.25x = 787,545.32
  5. Step 5: Solve for x
    x = 787,545.32/659.25
  6. Step 6: Final answer
    x = 1,194.61

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.