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Finding the Third Proportional to 305,606 and 467,193

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Solution

The third proportional to 305,606 and 467,193 is: 714,217.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,606 : 467,193 = 467,193 : x
  2. Step 2: Convert to fraction form
    305,606/467,193 = 467,193/x
  3. Step 3: Cross multiply
    305,606x = 467,193 × 467,193
  4. Step 4: Simplify right side
    305,606x = 218,269,299,249
  5. Step 5: Solve for x
    x = 218,269,299,249/305,606
  6. Step 6: Final answer
    x = 714,217.98

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.