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Finding the Third Proportional to 235,956 and 518,568

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Solution

The third proportional to 235,956 and 518,568 is: 1,139,673.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,956 : 518,568 = 518,568 : x
  2. Step 2: Convert to fraction form
    235,956/518,568 = 518,568/x
  3. Step 3: Cross multiply
    235,956x = 518,568 × 518,568
  4. Step 4: Simplify right side
    235,956x = 268,912,770,624
  5. Step 5: Solve for x
    x = 268,912,770,624/235,956
  6. Step 6: Final answer
    x = 1,139,673.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.