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Finding the Third Proportional to 333.38 and 521.13

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Solution

The third proportional to 333.38 and 521.13 is: 814.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.38 : 521.13 = 521.13 : x
  2. Step 2: Convert to fraction form
    333.38/521.13 = 521.13/x
  3. Step 3: Cross multiply
    333.38x = 521.13 × 521.13
  4. Step 4: Simplify right side
    333.38x = 271,571.27
  5. Step 5: Solve for x
    x = 271,571.27/333.38
  6. Step 6: Final answer
    x = 814.61

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.