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Finding the Third Proportional to 680.06 and 1,078.31

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Solution

The third proportional to 680.06 and 1,078.31 is: 1,709.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.06 : 1,078.31 = 1,078.31 : x
  2. Step 2: Convert to fraction form
    680.06/1,078.31 = 1,078.31/x
  3. Step 3: Cross multiply
    680.06x = 1,078.31 × 1,078.31
  4. Step 4: Simplify right side
    680.06x = 1,162,757.85
  5. Step 5: Solve for x
    x = 1,162,757.85/680.06
  6. Step 6: Final answer
    x = 1,709.78

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.