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Finding the Third Proportional to 680.06 and 954.70

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Solution

The third proportional to 680.06 and 954.70 is: 1,340.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.06 : 954.70 = 954.70 : x
  2. Step 2: Convert to fraction form
    680.06/954.70 = 954.70/x
  3. Step 3: Cross multiply
    680.06x = 954.70 × 954.70
  4. Step 4: Simplify right side
    680.06x = 911,458.06
  5. Step 5: Solve for x
    x = 911,458.06/680.06
  6. Step 6: Final answer
    x = 1,340.26

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.