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Finding the Third Proportional to 300,834 and 451,311.75

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Solution

The third proportional to 300,834 and 451,311.75 is: 677,058.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,834 : 451,311.75 = 451,311.75 : x
  2. Step 2: Convert to fraction form
    300,834/451,311.75 = 451,311.75/x
  3. Step 3: Cross multiply
    300,834x = 451,311.75 × 451,311.75
  4. Step 4: Simplify right side
    300,834x = 203,682,295,688.06
  5. Step 5: Solve for x
    x = 203,682,295,688.06/300,834
  6. Step 6: Final answer
    x = 677,058.76

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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.