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Finding the Third Proportional to 327.59 and 700.73

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Solution

The third proportional to 327.59 and 700.73 is: 1,498.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.59 : 700.73 = 700.73 : x
  2. Step 2: Convert to fraction form
    327.59/700.73 = 700.73/x
  3. Step 3: Cross multiply
    327.59x = 700.73 × 700.73
  4. Step 4: Simplify right side
    327.59x = 491,028.66
  5. Step 5: Solve for x
    x = 491,028.66/327.59
  6. Step 6: Final answer
    x = 1,498.93

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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.