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Finding the Third Proportional to 408.75 and 804.19

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Solution

The third proportional to 408.75 and 804.19 is: 1,582.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.75 : 804.19 = 804.19 : x
  2. Step 2: Convert to fraction form
    408.75/804.19 = 804.19/x
  3. Step 3: Cross multiply
    408.75x = 804.19 × 804.19
  4. Step 4: Simplify right side
    408.75x = 646,717.54
  5. Step 5: Solve for x
    x = 646,717.54/408.75
  6. Step 6: Final answer
    x = 1,582.18

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.