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Finding the Third Proportional to 441.14 and 940.85

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Solution

The third proportional to 441.14 and 940.85 is: 2,006.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.14 : 940.85 = 940.85 : x
  2. Step 2: Convert to fraction form
    441.14/940.85 = 940.85/x
  3. Step 3: Cross multiply
    441.14x = 940.85 × 940.85
  4. Step 4: Simplify right side
    441.14x = 885,201.66
  5. Step 5: Solve for x
    x = 885,201.66/441.14
  6. Step 6: Final answer
    x = 2,006.62

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.