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Finding the Third Proportional to 381,250.50 and 825,262.50

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Solution

The third proportional to 381,250.50 and 825,262.50 is: 1,786,379.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,250.50 : 825,262.50 = 825,262.50 : x
  2. Step 2: Convert to fraction form
    381,250.50/825,262.50 = 825,262.50/x
  3. Step 3: Cross multiply
    381,250.50x = 825,262.50 × 825,262.50
  4. Step 4: Simplify right side
    381,250.50x = 681,058,193,906.25
  5. Step 5: Solve for x
    x = 681,058,193,906.25/381,250.50
  6. Step 6: Final answer
    x = 1,786,379.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.