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Finding the Third Proportional to 226,745 and 327,777

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Solution

The third proportional to 226,745 and 327,777 is: 473,826.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,745 : 327,777 = 327,777 : x
  2. Step 2: Convert to fraction form
    226,745/327,777 = 327,777/x
  3. Step 3: Cross multiply
    226,745x = 327,777 × 327,777
  4. Step 4: Simplify right side
    226,745x = 107,437,761,729
  5. Step 5: Solve for x
    x = 107,437,761,729/226,745
  6. Step 6: Final answer
    x = 473,826.38

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.