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Finding the Third Proportional to 201,794 and 432,568

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Solution

The third proportional to 201,794 and 432,568 is: 927,257.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,794 : 432,568 = 432,568 : x
  2. Step 2: Convert to fraction form
    201,794/432,568 = 432,568/x
  3. Step 3: Cross multiply
    201,794x = 432,568 × 432,568
  4. Step 4: Simplify right side
    201,794x = 187,115,074,624
  5. Step 5: Solve for x
    x = 187,115,074,624/201,794
  6. Step 6: Final answer
    x = 927,257.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.