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Finding the Third Proportional to 411.75 and 879.75

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Solution

The third proportional to 411.75 and 879.75 is: 1,879.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.75 : 879.75 = 879.75 : x
  2. Step 2: Convert to fraction form
    411.75/879.75 = 879.75/x
  3. Step 3: Cross multiply
    411.75x = 879.75 × 879.75
  4. Step 4: Simplify right side
    411.75x = 773,960.06
  5. Step 5: Solve for x
    x = 773,960.06/411.75
  6. Step 6: Final answer
    x = 1,879.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.