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Finding the Third Proportional to 680.06 and 966.09

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Solution

The third proportional to 680.06 and 966.09 is: 1,372.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.06 : 966.09 = 966.09 : x
  2. Step 2: Convert to fraction form
    680.06/966.09 = 966.09/x
  3. Step 3: Cross multiply
    680.06x = 966.09 × 966.09
  4. Step 4: Simplify right side
    680.06x = 933,337.13
  5. Step 5: Solve for x
    x = 933,337.13/680.06
  6. Step 6: Final answer
    x = 1,372.43

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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.