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Finding the Third Proportional to 327.75 and 473.91

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Solution

The third proportional to 327.75 and 473.91 is: 685.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.75 : 473.91 = 473.91 : x
  2. Step 2: Convert to fraction form
    327.75/473.91 = 473.91/x
  3. Step 3: Cross multiply
    327.75x = 473.91 × 473.91
  4. Step 4: Simplify right side
    327.75x = 224,587.13
  5. Step 5: Solve for x
    x = 224,587.13/327.75
  6. Step 6: Final answer
    x = 685.24

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.