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Finding the Third Proportional to 327.33 and 705.91

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Solution

The third proportional to 327.33 and 705.91 is: 1,522.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.33 : 705.91 = 705.91 : x
  2. Step 2: Convert to fraction form
    327.33/705.91 = 705.91/x
  3. Step 3: Cross multiply
    327.33x = 705.91 × 705.91
  4. Step 4: Simplify right side
    327.33x = 498,314.66
  5. Step 5: Solve for x
    x = 498,314.66/327.33
  6. Step 6: Final answer
    x = 1,522.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.