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Finding the Third Proportional to 299.13 and 462.28

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Solution

The third proportional to 299.13 and 462.28 is: 714.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.13 : 462.28 = 462.28 : x
  2. Step 2: Convert to fraction form
    299.13/462.28 = 462.28/x
  3. Step 3: Cross multiply
    299.13x = 462.28 × 462.28
  4. Step 4: Simplify right side
    299.13x = 213,703.95
  5. Step 5: Solve for x
    x = 213,703.95/299.13
  6. Step 6: Final answer
    x = 714.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.