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Finding the Third Proportional to 220,412 and 327,378

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Solution

The third proportional to 220,412 and 327,378 is: 486,254.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,412 : 327,378 = 327,378 : x
  2. Step 2: Convert to fraction form
    220,412/327,378 = 327,378/x
  3. Step 3: Cross multiply
    220,412x = 327,378 × 327,378
  4. Step 4: Simplify right side
    220,412x = 107,176,354,884
  5. Step 5: Solve for x
    x = 107,176,354,884/220,412
  6. Step 6: Final answer
    x = 486,254.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.