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Finding the Third Proportional to 381.38 and 431.44

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Solution

The third proportional to 381.38 and 431.44 is: 488.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.38 : 431.44 = 431.44 : x
  2. Step 2: Convert to fraction form
    381.38/431.44 = 431.44/x
  3. Step 3: Cross multiply
    381.38x = 431.44 × 431.44
  4. Step 4: Simplify right side
    381.38x = 186,138.32
  5. Step 5: Solve for x
    x = 186,138.32/381.38
  6. Step 6: Final answer
    x = 488.07

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.