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Finding the Third Proportional to 680.27 and 966.30

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Solution

The third proportional to 680.27 and 966.30 is: 1,372.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.27 : 966.30 = 966.30 : x
  2. Step 2: Convert to fraction form
    680.27/966.30 = 966.30/x
  3. Step 3: Cross multiply
    680.27x = 966.30 × 966.30
  4. Step 4: Simplify right side
    680.27x = 933,744.75
  5. Step 5: Solve for x
    x = 933,744.75/680.27
  6. Step 6: Final answer
    x = 1,372.60

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.