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Finding the Third Proportional to 300,930 and 635,636

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Solution

The third proportional to 300,930 and 635,636 is: 1,342,614.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,930 : 635,636 = 635,636 : x
  2. Step 2: Convert to fraction form
    300,930/635,636 = 635,636/x
  3. Step 3: Cross multiply
    300,930x = 635,636 × 635,636
  4. Step 4: Simplify right side
    300,930x = 404,033,124,496
  5. Step 5: Solve for x
    x = 404,033,124,496/300,930
  6. Step 6: Final answer
    x = 1,342,614.98

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.