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Finding the Third Proportional to 382 and 571.88

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Solution

The third proportional to 382 and 571.88 is: 856.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    382 : 571.88 = 571.88 : x
  2. Step 2: Convert to fraction form
    382/571.88 = 571.88/x
  3. Step 3: Cross multiply
    382x = 571.88 × 571.88
  4. Step 4: Simplify right side
    382x = 327,041.02
  5. Step 5: Solve for x
    x = 327,041.02/382
  6. Step 6: Final answer
    x = 856.13

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