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Finding the Third Proportional to 327,568 and 519,378

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Solution

The third proportional to 327,568 and 519,378 is: 823,503.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,568 : 519,378 = 519,378 : x
  2. Step 2: Convert to fraction form
    327,568/519,378 = 519,378/x
  3. Step 3: Cross multiply
    327,568x = 519,378 × 519,378
  4. Step 4: Simplify right side
    327,568x = 269,753,506,884
  5. Step 5: Solve for x
    x = 269,753,506,884/327,568
  6. Step 6: Final answer
    x = 823,503.84

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.