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Finding the Third Proportional to 299.11 and 462.06

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Solution

The third proportional to 299.11 and 462.06 is: 713.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.11 : 462.06 = 462.06 : x
  2. Step 2: Convert to fraction form
    299.11/462.06 = 462.06/x
  3. Step 3: Cross multiply
    299.11x = 462.06 × 462.06
  4. Step 4: Simplify right side
    299.11x = 213,498.14
  5. Step 5: Solve for x
    x = 213,498.14/299.11
  6. Step 6: Final answer
    x = 713.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.