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Finding the Third Proportional to 394.35 and 814.32

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Solution

The third proportional to 394.35 and 814.32 is: 1,681.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.35 : 814.32 = 814.32 : x
  2. Step 2: Convert to fraction form
    394.35/814.32 = 814.32/x
  3. Step 3: Cross multiply
    394.35x = 814.32 × 814.32
  4. Step 4: Simplify right side
    394.35x = 663,123.93
  5. Step 5: Solve for x
    x = 663,123.93/394.35
  6. Step 6: Final answer
    x = 1,681.57

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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.