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Finding the Third Proportional to 399.94 and 863.72

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Solution

The third proportional to 399.94 and 863.72 is: 1,865.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.94 : 863.72 = 863.72 : x
  2. Step 2: Convert to fraction form
    399.94/863.72 = 863.72/x
  3. Step 3: Cross multiply
    399.94x = 863.72 × 863.72
  4. Step 4: Simplify right side
    399.94x = 746,010.08
  5. Step 5: Solve for x
    x = 746,010.08/399.94
  6. Step 6: Final answer
    x = 1,865.32

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.