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Finding the Third Proportional to 300,837 and 451,321.50

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Solution

The third proportional to 300,837 and 451,321.50 is: 677,081.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,837 : 451,321.50 = 451,321.50 : x
  2. Step 2: Convert to fraction form
    300,837/451,321.50 = 451,321.50/x
  3. Step 3: Cross multiply
    300,837x = 451,321.50 × 451,321.50
  4. Step 4: Simplify right side
    300,837x = 203,691,096,362.25
  5. Step 5: Solve for x
    x = 203,691,096,362.25/300,837
  6. Step 6: Final answer
    x = 677,081.26

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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.