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Finding the Third Proportional to 408.88 and 835.75

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Solution

The third proportional to 408.88 and 835.75 is: 1,708.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.88 : 835.75 = 835.75 : x
  2. Step 2: Convert to fraction form
    408.88/835.75 = 835.75/x
  3. Step 3: Cross multiply
    408.88x = 835.75 × 835.75
  4. Step 4: Simplify right side
    408.88x = 698,478.06
  5. Step 5: Solve for x
    x = 698,478.06/408.88
  6. Step 6: Final answer
    x = 1,708.29

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.