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Finding the Third Proportional to 312,379.50 and 467,232

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Solution

The third proportional to 312,379.50 and 467,232 is: 698,847.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,379.50 : 467,232 = 467,232 : x
  2. Step 2: Convert to fraction form
    312,379.50/467,232 = 467,232/x
  3. Step 3: Cross multiply
    312,379.50x = 467,232 × 467,232
  4. Step 4: Simplify right side
    312,379.50x = 218,305,741,824
  5. Step 5: Solve for x
    x = 218,305,741,824/312,379.50
  6. Step 6: Final answer
    x = 698,847.85

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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.