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Finding the Third Proportional to 759.75 and 861.75

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Solution

The third proportional to 759.75 and 861.75 is: 977.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.75 : 861.75 = 861.75 : x
  2. Step 2: Convert to fraction form
    759.75/861.75 = 861.75/x
  3. Step 3: Cross multiply
    759.75x = 861.75 × 861.75
  4. Step 4: Simplify right side
    759.75x = 742,613.06
  5. Step 5: Solve for x
    x = 742,613.06/759.75
  6. Step 6: Final answer
    x = 977.44

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.