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Finding the Third Proportional to 399.94 and 879.19

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Solution

The third proportional to 399.94 and 879.19 is: 1,932.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.94 : 879.19 = 879.19 : x
  2. Step 2: Convert to fraction form
    399.94/879.19 = 879.19/x
  3. Step 3: Cross multiply
    399.94x = 879.19 × 879.19
  4. Step 4: Simplify right side
    399.94x = 772,970.66
  5. Step 5: Solve for x
    x = 772,970.66/399.94
  6. Step 6: Final answer
    x = 1,932.73

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.