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Finding the Third Proportional to 382.50 and 453.56

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Solution

The third proportional to 382.50 and 453.56 is: 537.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.50 : 453.56 = 453.56 : x
  2. Step 2: Convert to fraction form
    382.50/453.56 = 453.56/x
  3. Step 3: Cross multiply
    382.50x = 453.56 × 453.56
  4. Step 4: Simplify right side
    382.50x = 205,718.94
  5. Step 5: Solve for x
    x = 205,718.94/382.50
  6. Step 6: Final answer
    x = 537.83

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Why These Related Problems?

These problems maintain the same ratio (1.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.