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Finding the Third Proportional to 408.09 and 890.44

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Solution

The third proportional to 408.09 and 890.44 is: 1,942.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.09 : 890.44 = 890.44 : x
  2. Step 2: Convert to fraction form
    408.09/890.44 = 890.44/x
  3. Step 3: Cross multiply
    408.09x = 890.44 × 890.44
  4. Step 4: Simplify right side
    408.09x = 792,878.94
  5. Step 5: Solve for x
    x = 792,878.94/408.09
  6. Step 6: Final answer
    x = 1,942.88

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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.