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Finding the Third Proportional to 394.75 and 519.38

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Solution

The third proportional to 394.75 and 519.38 is: 683.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.75 : 519.38 = 519.38 : x
  2. Step 2: Convert to fraction form
    394.75/519.38 = 519.38/x
  3. Step 3: Cross multiply
    394.75x = 519.38 × 519.38
  4. Step 4: Simplify right side
    394.75x = 269,750.39
  5. Step 5: Solve for x
    x = 269,750.39/394.75
  6. Step 6: Final answer
    x = 683.34

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.