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Finding the Third Proportional to 327.52 and 700.17

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Solution

The third proportional to 327.52 and 700.17 is: 1,496.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.52 : 700.17 = 700.17 : x
  2. Step 2: Convert to fraction form
    327.52/700.17 = 700.17/x
  3. Step 3: Cross multiply
    327.52x = 700.17 × 700.17
  4. Step 4: Simplify right side
    327.52x = 490,240.65
  5. Step 5: Solve for x
    x = 490,240.65/327.52
  6. Step 6: Final answer
    x = 1,496.85

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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.