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Finding the Third Proportional to 327.38 and 458.63

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Solution

The third proportional to 327.38 and 458.63 is: 642.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.38 : 458.63 = 458.63 : x
  2. Step 2: Convert to fraction form
    327.38/458.63 = 458.63/x
  3. Step 3: Cross multiply
    327.38x = 458.63 × 458.63
  4. Step 4: Simplify right side
    327.38x = 210,336.89
  5. Step 5: Solve for x
    x = 210,336.89/327.38
  6. Step 6: Final answer
    x = 642.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.