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Finding the Third Proportional to 218,914 and 475,193

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Solution

The third proportional to 218,914 and 475,193 is: 1,031,493.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,914 : 475,193 = 475,193 : x
  2. Step 2: Convert to fraction form
    218,914/475,193 = 475,193/x
  3. Step 3: Cross multiply
    218,914x = 475,193 × 475,193
  4. Step 4: Simplify right side
    218,914x = 225,808,387,249
  5. Step 5: Solve for x
    x = 225,808,387,249/218,914
  6. Step 6: Final answer
    x = 1,031,493.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.