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Finding the Third Proportional to 225,676 and 543,753

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Solution

The third proportional to 225,676 and 543,753 is: 1,310,140.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,676 : 543,753 = 543,753 : x
  2. Step 2: Convert to fraction form
    225,676/543,753 = 543,753/x
  3. Step 3: Cross multiply
    225,676x = 543,753 × 543,753
  4. Step 4: Simplify right side
    225,676x = 295,667,325,009
  5. Step 5: Solve for x
    x = 295,667,325,009/225,676
  6. Step 6: Final answer
    x = 1,310,140.75

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.