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Finding the Third Proportional to 323,642.75 and 485,464.44

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Solution

The third proportional to 323,642.75 and 485,464.44 is: 728,197.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,642.75 : 485,464.44 = 485,464.44 : x
  2. Step 2: Convert to fraction form
    323,642.75/485,464.44 = 485,464.44/x
  3. Step 3: Cross multiply
    323,642.75x = 485,464.44 × 485,464.44
  4. Step 4: Simplify right side
    323,642.75x = 235,675,720,077.19
  5. Step 5: Solve for x
    x = 235,675,720,077.19/323,642.75
  6. Step 6: Final answer
    x = 728,197.13

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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.