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Finding the Third Proportional to 327,828 and 494,052

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Solution

The third proportional to 327,828 and 494,052 is: 744,559.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,828 : 494,052 = 494,052 : x
  2. Step 2: Convert to fraction form
    327,828/494,052 = 494,052/x
  3. Step 3: Cross multiply
    327,828x = 494,052 × 494,052
  4. Step 4: Simplify right side
    327,828x = 244,087,378,704
  5. Step 5: Solve for x
    x = 244,087,378,704/327,828
  6. Step 6: Final answer
    x = 744,559.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.