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Finding the Third Proportional to 680.91 and 1,690.88

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Solution

The third proportional to 680.91 and 1,690.88 is: 4,198.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.91 : 1,690.88 = 1,690.88 : x
  2. Step 2: Convert to fraction form
    680.91/1,690.88 = 1,690.88/x
  3. Step 3: Cross multiply
    680.91x = 1,690.88 × 1,690.88
  4. Step 4: Simplify right side
    680.91x = 2,859,058.27
  5. Step 5: Solve for x
    x = 2,859,058.27/680.91
  6. Step 6: Final answer
    x = 4,198.90

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Why These Related Problems?

These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.