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Finding the Third Proportional to 291,874 and 633,568

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Solution

The third proportional to 291,874 and 633,568 is: 1,375,279.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,874 : 633,568 = 633,568 : x
  2. Step 2: Convert to fraction form
    291,874/633,568 = 633,568/x
  3. Step 3: Cross multiply
    291,874x = 633,568 × 633,568
  4. Step 4: Simplify right side
    291,874x = 401,408,410,624
  5. Step 5: Solve for x
    x = 401,408,410,624/291,874
  6. Step 6: Final answer
    x = 1,375,279.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.