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Finding the Third Proportional to 391.75 and 827.56

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Solution

The third proportional to 391.75 and 827.56 is: 1,748.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.75 : 827.56 = 827.56 : x
  2. Step 2: Convert to fraction form
    391.75/827.56 = 827.56/x
  3. Step 3: Cross multiply
    391.75x = 827.56 × 827.56
  4. Step 4: Simplify right side
    391.75x = 684,859.69
  5. Step 5: Solve for x
    x = 684,859.69/391.75
  6. Step 6: Final answer
    x = 1,748.21

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.