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Finding the Third Proportional to 680.70 and 1,018.41

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Solution

The third proportional to 680.70 and 1,018.41 is: 1,523.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.70 : 1,018.41 = 1,018.41 : x
  2. Step 2: Convert to fraction form
    680.70/1,018.41 = 1,018.41/x
  3. Step 3: Cross multiply
    680.70x = 1,018.41 × 1,018.41
  4. Step 4: Simplify right side
    680.70x = 1,037,151.29
  5. Step 5: Solve for x
    x = 1,037,151.29/680.70
  6. Step 6: Final answer
    x = 1,523.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.