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Finding the Third Proportional to 680.44 and 1,473.75

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Solution

The third proportional to 680.44 and 1,473.75 is: 3,191.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.44 : 1,473.75 = 1,473.75 : x
  2. Step 2: Convert to fraction form
    680.44/1,473.75 = 1,473.75/x
  3. Step 3: Cross multiply
    680.44x = 1,473.75 × 1,473.75
  4. Step 4: Simplify right side
    680.44x = 2,171,939.06
  5. Step 5: Solve for x
    x = 2,171,939.06/680.44
  6. Step 6: Final answer
    x = 3,191.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.