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Finding the Third Proportional to 299,267 and 449,189

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Solution

The third proportional to 299,267 and 449,189 is: 674,216.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,267 : 449,189 = 449,189 : x
  2. Step 2: Convert to fraction form
    299,267/449,189 = 449,189/x
  3. Step 3: Cross multiply
    299,267x = 449,189 × 449,189
  4. Step 4: Simplify right side
    299,267x = 201,770,757,721
  5. Step 5: Solve for x
    x = 201,770,757,721/299,267
  6. Step 6: Final answer
    x = 674,216.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.