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Finding the Third Proportional to 266.44 and 694.97

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Solution

The third proportional to 266.44 and 694.97 is: 1,812.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.44 : 694.97 = 694.97 : x
  2. Step 2: Convert to fraction form
    266.44/694.97 = 694.97/x
  3. Step 3: Cross multiply
    266.44x = 694.97 × 694.97
  4. Step 4: Simplify right side
    266.44x = 482,981.56
  5. Step 5: Solve for x
    x = 482,981.56/266.44
  6. Step 6: Final answer
    x = 1,812.74

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Why These Related Problems?

These problems maintain the same ratio (2.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.