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Finding the Third Proportional to 403.42 and 879.61

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Solution

The third proportional to 403.42 and 879.61 is: 1,917.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.42 : 879.61 = 879.61 : x
  2. Step 2: Convert to fraction form
    403.42/879.61 = 879.61/x
  3. Step 3: Cross multiply
    403.42x = 879.61 × 879.61
  4. Step 4: Simplify right side
    403.42x = 773,712.65
  5. Step 5: Solve for x
    x = 773,712.65/403.42
  6. Step 6: Final answer
    x = 1,917.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.