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Finding the Third Proportional to 327,604.50 and 508,902.75

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Solution

The third proportional to 327,604.50 and 508,902.75 is: 790,532.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,604.50 : 508,902.75 = 508,902.75 : x
  2. Step 2: Convert to fraction form
    327,604.50/508,902.75 = 508,902.75/x
  3. Step 3: Cross multiply
    327,604.50x = 508,902.75 × 508,902.75
  4. Step 4: Simplify right side
    327,604.50x = 258,982,008,957.56
  5. Step 5: Solve for x
    x = 258,982,008,957.56/327,604.50
  6. Step 6: Final answer
    x = 790,532.51

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.