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Finding the Third Proportional to 330.13 and 464.38

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Solution

The third proportional to 330.13 and 464.38 is: 653.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.13 : 464.38 = 464.38 : x
  2. Step 2: Convert to fraction form
    330.13/464.38 = 464.38/x
  3. Step 3: Cross multiply
    330.13x = 464.38 × 464.38
  4. Step 4: Simplify right side
    330.13x = 215,644.14
  5. Step 5: Solve for x
    x = 215,644.14/330.13
  6. Step 6: Final answer
    x = 653.22

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.