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Finding the Third Proportional to 409.92 and 880.59

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Solution

The third proportional to 409.92 and 880.59 is: 1,891.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.92 : 880.59 = 880.59 : x
  2. Step 2: Convert to fraction form
    409.92/880.59 = 880.59/x
  3. Step 3: Cross multiply
    409.92x = 880.59 × 880.59
  4. Step 4: Simplify right side
    409.92x = 775,445.35
  5. Step 5: Solve for x
    x = 775,445.35/409.92
  6. Step 6: Final answer
    x = 1,891.69

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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.