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Finding the Third Proportional to 414.44 and 902.19

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Solution

The third proportional to 414.44 and 902.19 is: 1,963.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.44 : 902.19 = 902.19 : x
  2. Step 2: Convert to fraction form
    414.44/902.19 = 902.19/x
  3. Step 3: Cross multiply
    414.44x = 902.19 × 902.19
  4. Step 4: Simplify right side
    414.44x = 813,942.29
  5. Step 5: Solve for x
    x = 813,942.29/414.44
  6. Step 6: Final answer
    x = 1,963.97

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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.