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Finding the Third Proportional to 299,742 and 451,593

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Solution

The third proportional to 299,742 and 451,593 is: 680,372.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,742 : 451,593 = 451,593 : x
  2. Step 2: Convert to fraction form
    299,742/451,593 = 451,593/x
  3. Step 3: Cross multiply
    299,742x = 451,593 × 451,593
  4. Step 4: Simplify right side
    299,742x = 203,936,237,649
  5. Step 5: Solve for x
    x = 203,936,237,649/299,742
  6. Step 6: Final answer
    x = 680,372.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.