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Finding the Third Proportional to 323,206.14 and 485,249.17

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Solution

The third proportional to 323,206.14 and 485,249.17 is: 728,534.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,206.14 : 485,249.17 = 485,249.17 : x
  2. Step 2: Convert to fraction form
    323,206.14/485,249.17 = 485,249.17/x
  3. Step 3: Cross multiply
    323,206.14x = 485,249.17 × 485,249.17
  4. Step 4: Simplify right side
    323,206.14x = 235,466,755,014.36
  5. Step 5: Solve for x
    x = 235,466,755,014.36/323,206.14
  6. Step 6: Final answer
    x = 728,534.30

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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.