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Finding the Third Proportional to 299,269.69 and 449,200.69

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Solution

The third proportional to 299,269.69 and 449,200.69 is: 674,245.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,269.69 : 449,200.69 = 449,200.69 : x
  2. Step 2: Convert to fraction form
    299,269.69/449,200.69 = 449,200.69/x
  3. Step 3: Cross multiply
    299,269.69x = 449,200.69 × 449,200.69
  4. Step 4: Simplify right side
    299,269.69x = 201,781,257,650.47
  5. Step 5: Solve for x
    x = 201,781,257,650.47/299,269.69
  6. Step 6: Final answer
    x = 674,245.56

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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.