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Finding the Third Proportional to 486.66 and 1,067.72

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Solution

The third proportional to 486.66 and 1,067.72 is: 2,342.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.66 : 1,067.72 = 1,067.72 : x
  2. Step 2: Convert to fraction form
    486.66/1,067.72 = 1,067.72/x
  3. Step 3: Cross multiply
    486.66x = 1,067.72 × 1,067.72
  4. Step 4: Simplify right side
    486.66x = 1,140,023.33
  5. Step 5: Solve for x
    x = 1,140,023.33/486.66
  6. Step 6: Final answer
    x = 2,342.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.