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Finding the Third Proportional to 381.31 and 571.81

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Solution

The third proportional to 381.31 and 571.81 is: 857.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.31 : 571.81 = 571.81 : x
  2. Step 2: Convert to fraction form
    381.31/571.81 = 571.81/x
  3. Step 3: Cross multiply
    381.31x = 571.81 × 571.81
  4. Step 4: Simplify right side
    381.31x = 326,969.54
  5. Step 5: Solve for x
    x = 326,969.54/381.31
  6. Step 6: Final answer
    x = 857.48

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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.