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Finding the Third Proportional to 327.94 and 474.47

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Solution

The third proportional to 327.94 and 474.47 is: 686.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.94 : 474.47 = 474.47 : x
  2. Step 2: Convert to fraction form
    327.94/474.47 = 474.47/x
  3. Step 3: Cross multiply
    327.94x = 474.47 × 474.47
  4. Step 4: Simplify right side
    327.94x = 225,120.59
  5. Step 5: Solve for x
    x = 225,120.59/327.94
  6. Step 6: Final answer
    x = 686.47

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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.