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Finding the Third Proportional to 327,744 and 442,808

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Solution

The third proportional to 327,744 and 442,808 is: 598,268.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,744 : 442,808 = 442,808 : x
  2. Step 2: Convert to fraction form
    327,744/442,808 = 442,808/x
  3. Step 3: Cross multiply
    327,744x = 442,808 × 442,808
  4. Step 4: Simplify right side
    327,744x = 196,078,924,864
  5. Step 5: Solve for x
    x = 196,078,924,864/327,744
  6. Step 6: Final answer
    x = 598,268.54

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.