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Finding the Third Proportional to 330.29 and 461.78

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Solution

The third proportional to 330.29 and 461.78 is: 645.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.29 : 461.78 = 461.78 : x
  2. Step 2: Convert to fraction form
    330.29/461.78 = 461.78/x
  3. Step 3: Cross multiply
    330.29x = 461.78 × 461.78
  4. Step 4: Simplify right side
    330.29x = 213,238.32
  5. Step 5: Solve for x
    x = 213,238.32/330.29
  6. Step 6: Final answer
    x = 645.60

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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.