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Finding the Third Proportional to 381.38 and 523.76

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Solution

The third proportional to 381.38 and 523.76 is: 719.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.38 : 523.76 = 523.76 : x
  2. Step 2: Convert to fraction form
    381.38/523.76 = 523.76/x
  3. Step 3: Cross multiply
    381.38x = 523.76 × 523.76
  4. Step 4: Simplify right side
    381.38x = 274,322.25
  5. Step 5: Solve for x
    x = 274,322.25/381.38
  6. Step 6: Final answer
    x = 719.30

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.