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Finding the Third Proportional to 327.48 and 673.95

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Solution

The third proportional to 327.48 and 673.95 is: 1,386.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.48 : 673.95 = 673.95 : x
  2. Step 2: Convert to fraction form
    327.48/673.95 = 673.95/x
  3. Step 3: Cross multiply
    327.48x = 673.95 × 673.95
  4. Step 4: Simplify right side
    327.48x = 454,202.28
  5. Step 5: Solve for x
    x = 454,202.28/327.48
  6. Step 6: Final answer
    x = 1,386.96

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.