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Finding the Third Proportional to 323,799.19 and 485,736.75

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Solution

The third proportional to 323,799.19 and 485,736.75 is: 728,662.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,799.19 : 485,736.75 = 485,736.75 : x
  2. Step 2: Convert to fraction form
    323,799.19/485,736.75 = 485,736.75/x
  3. Step 3: Cross multiply
    323,799.19x = 485,736.75 × 485,736.75
  4. Step 4: Simplify right side
    323,799.19x = 235,940,190,300.56
  5. Step 5: Solve for x
    x = 235,940,190,300.56/323,799.19
  6. Step 6: Final answer
    x = 728,662.08

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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.