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Finding the Third Proportional to 299,163.38 and 449,043.12

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Solution

The third proportional to 299,163.38 and 449,043.12 is: 674,012.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,163.38 : 449,043.12 = 449,043.12 : x
  2. Step 2: Convert to fraction form
    299,163.38/449,043.12 = 449,043.12/x
  3. Step 3: Cross multiply
    299,163.38x = 449,043.12 × 449,043.12
  4. Step 4: Simplify right side
    299,163.38x = 201,639,721,093.47
  5. Step 5: Solve for x
    x = 201,639,721,093.47/299,163.38
  6. Step 6: Final answer
    x = 674,012.05

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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.