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Finding the Third Proportional to 330.33 and 518.27

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Solution

The third proportional to 330.33 and 518.27 is: 813.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.33 : 518.27 = 518.27 : x
  2. Step 2: Convert to fraction form
    330.33/518.27 = 518.27/x
  3. Step 3: Cross multiply
    330.33x = 518.27 × 518.27
  4. Step 4: Simplify right side
    330.33x = 268,607.36
  5. Step 5: Solve for x
    x = 268,607.36/330.33
  6. Step 6: Final answer
    x = 813.15

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.