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Finding the Third Proportional to 330.33 and 704.95

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Solution

The third proportional to 330.33 and 704.95 is: 1,504.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.33 : 704.95 = 704.95 : x
  2. Step 2: Convert to fraction form
    330.33/704.95 = 704.95/x
  3. Step 3: Cross multiply
    330.33x = 704.95 × 704.95
  4. Step 4: Simplify right side
    330.33x = 496,958.91
  5. Step 5: Solve for x
    x = 496,958.91/330.33
  6. Step 6: Final answer
    x = 1,504.44

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.