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Finding the Third Proportional to 680.06 and 994.13

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Solution

The third proportional to 680.06 and 994.13 is: 1,453.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.06 : 994.13 = 994.13 : x
  2. Step 2: Convert to fraction form
    680.06/994.13 = 994.13/x
  3. Step 3: Cross multiply
    680.06x = 994.13 × 994.13
  4. Step 4: Simplify right side
    680.06x = 988,284.52
  5. Step 5: Solve for x
    x = 988,284.52/680.06
  6. Step 6: Final answer
    x = 1,453.23

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.