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Finding the Third Proportional to 300,504 and 451,908

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Solution

The third proportional to 300,504 and 451,908 is: 679,594.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,504 : 451,908 = 451,908 : x
  2. Step 2: Convert to fraction form
    300,504/451,908 = 451,908/x
  3. Step 3: Cross multiply
    300,504x = 451,908 × 451,908
  4. Step 4: Simplify right side
    300,504x = 204,220,840,464
  5. Step 5: Solve for x
    x = 204,220,840,464/300,504
  6. Step 6: Final answer
    x = 679,594.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.