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Finding the Third Proportional to 399.28 and 872.53

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Solution

The third proportional to 399.28 and 872.53 is: 1,906.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.28 : 872.53 = 872.53 : x
  2. Step 2: Convert to fraction form
    399.28/872.53 = 872.53/x
  3. Step 3: Cross multiply
    399.28x = 872.53 × 872.53
  4. Step 4: Simplify right side
    399.28x = 761,310.78
  5. Step 5: Solve for x
    x = 761,310.78/399.28
  6. Step 6: Final answer
    x = 1,906.70

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.