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Finding the Third Proportional to 680.91 and 1,401.05

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Solution

The third proportional to 680.91 and 1,401.05 is: 2,882.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.91 : 1,401.05 = 1,401.05 : x
  2. Step 2: Convert to fraction form
    680.91/1,401.05 = 1,401.05/x
  3. Step 3: Cross multiply
    680.91x = 1,401.05 × 1,401.05
  4. Step 4: Simplify right side
    680.91x = 1,962,932.35
  5. Step 5: Solve for x
    x = 1,962,932.35/680.91
  6. Step 6: Final answer
    x = 2,882.82

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.