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Finding the Third Proportional to 441.39 and 948.90

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Solution

The third proportional to 441.39 and 948.90 is: 2,039.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.39 : 948.90 = 948.90 : x
  2. Step 2: Convert to fraction form
    441.39/948.90 = 948.90/x
  3. Step 3: Cross multiply
    441.39x = 948.90 × 948.90
  4. Step 4: Simplify right side
    441.39x = 900,415.66
  5. Step 5: Solve for x
    x = 900,415.66/441.39
  6. Step 6: Final answer
    x = 2,039.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.