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Finding the Third Proportional to 387,745.50 and 852,027.38

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Solution

The third proportional to 387,745.50 and 852,027.38 is: 1,872,234.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,745.50 : 852,027.38 = 852,027.38 : x
  2. Step 2: Convert to fraction form
    387,745.50/852,027.38 = 852,027.38/x
  3. Step 3: Cross multiply
    387,745.50x = 852,027.38 × 852,027.38
  4. Step 4: Simplify right side
    387,745.50x = 725,950,647,749.39
  5. Step 5: Solve for x
    x = 725,950,647,749.39/387,745.50
  6. Step 6: Final answer
    x = 1,872,234.88

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.