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Finding the Third Proportional to 861.89 and 1,218.59

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Solution

The third proportional to 861.89 and 1,218.59 is: 1,722.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.89 : 1,218.59 = 1,218.59 : x
  2. Step 2: Convert to fraction form
    861.89/1,218.59 = 1,218.59/x
  3. Step 3: Cross multiply
    861.89x = 1,218.59 × 1,218.59
  4. Step 4: Simplify right side
    861.89x = 1,484,951.69
  5. Step 5: Solve for x
    x = 1,484,951.69/861.89
  6. Step 6: Final answer
    x = 1,722.90

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.