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Finding the Third Proportional to 394.81 and 814.94

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Solution

The third proportional to 394.81 and 814.94 is: 1,682.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.81 : 814.94 = 814.94 : x
  2. Step 2: Convert to fraction form
    394.81/814.94 = 814.94/x
  3. Step 3: Cross multiply
    394.81x = 814.94 × 814.94
  4. Step 4: Simplify right side
    394.81x = 664,123.13
  5. Step 5: Solve for x
    x = 664,123.13/394.81
  6. Step 6: Final answer
    x = 1,682.12

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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.