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Finding the Third Proportional to 378,418.50 and 569,222.44

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Solution

The third proportional to 378,418.50 and 569,222.44 is: 856,232.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,418.50 : 569,222.44 = 569,222.44 : x
  2. Step 2: Convert to fraction form
    378,418.50/569,222.44 = 569,222.44/x
  3. Step 3: Cross multiply
    378,418.50x = 569,222.44 × 569,222.44
  4. Step 4: Simplify right side
    378,418.50x = 324,014,183,353.44
  5. Step 5: Solve for x
    x = 324,014,183,353.44/378,418.50
  6. Step 6: Final answer
    x = 856,232.41

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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.