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Finding the Third Proportional to 300,162 and 635,172

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Solution

The third proportional to 300,162 and 635,172 is: 1,344,085.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,162 : 635,172 = 635,172 : x
  2. Step 2: Convert to fraction form
    300,162/635,172 = 635,172/x
  3. Step 3: Cross multiply
    300,162x = 635,172 × 635,172
  4. Step 4: Simplify right side
    300,162x = 403,443,469,584
  5. Step 5: Solve for x
    x = 403,443,469,584/300,162
  6. Step 6: Final answer
    x = 1,344,085.76

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.