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Finding the Third Proportional to 381.59 and 572.38

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Solution

The third proportional to 381.59 and 572.38 is: 858.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.59 : 572.38 = 572.38 : x
  2. Step 2: Convert to fraction form
    381.59/572.38 = 572.38/x
  3. Step 3: Cross multiply
    381.59x = 572.38 × 572.38
  4. Step 4: Simplify right side
    381.59x = 327,617.61
  5. Step 5: Solve for x
    x = 327,617.61/381.59
  6. Step 6: Final answer
    x = 858.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.