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Finding the Third Proportional to 327.66 and 477.42

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Solution

The third proportional to 327.66 and 477.42 is: 695.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.66 : 477.42 = 477.42 : x
  2. Step 2: Convert to fraction form
    327.66/477.42 = 477.42/x
  3. Step 3: Cross multiply
    327.66x = 477.42 × 477.42
  4. Step 4: Simplify right side
    327.66x = 227,931.65
  5. Step 5: Solve for x
    x = 227,931.65/327.66
  6. Step 6: Final answer
    x = 695.64

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.