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Finding the Third Proportional to 327,226 and 684,098

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Solution

The third proportional to 327,226 and 684,098 is: 1,430,173.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,226 : 684,098 = 684,098 : x
  2. Step 2: Convert to fraction form
    327,226/684,098 = 684,098/x
  3. Step 3: Cross multiply
    327,226x = 684,098 × 684,098
  4. Step 4: Simplify right side
    327,226x = 467,990,073,604
  5. Step 5: Solve for x
    x = 467,990,073,604/327,226
  6. Step 6: Final answer
    x = 1,430,173.87

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.