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Finding the Third Proportional to 293,149.13 and 449,200.69

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Solution

The third proportional to 293,149.13 and 449,200.69 is: 688,322.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,149.13 : 449,200.69 = 449,200.69 : x
  2. Step 2: Convert to fraction form
    293,149.13/449,200.69 = 449,200.69/x
  3. Step 3: Cross multiply
    293,149.13x = 449,200.69 × 449,200.69
  4. Step 4: Simplify right side
    293,149.13x = 201,781,257,650.47
  5. Step 5: Solve for x
    x = 201,781,257,650.47/293,149.13
  6. Step 6: Final answer
    x = 688,322.91

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.