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Finding the Third Proportional to 879.33 and 1,277.72

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Solution

The third proportional to 879.33 and 1,277.72 is: 1,856.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.33 : 1,277.72 = 1,277.72 : x
  2. Step 2: Convert to fraction form
    879.33/1,277.72 = 1,277.72/x
  3. Step 3: Cross multiply
    879.33x = 1,277.72 × 1,277.72
  4. Step 4: Simplify right side
    879.33x = 1,632,565.20
  5. Step 5: Solve for x
    x = 1,632,565.20/879.33
  6. Step 6: Final answer
    x = 1,856.61

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.