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Finding the Third Proportional to 268,206 and 558,456

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Solution

The third proportional to 268,206 and 558,456 is: 1,162,811.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,206 : 558,456 = 558,456 : x
  2. Step 2: Convert to fraction form
    268,206/558,456 = 558,456/x
  3. Step 3: Cross multiply
    268,206x = 558,456 × 558,456
  4. Step 4: Simplify right side
    268,206x = 311,873,103,936
  5. Step 5: Solve for x
    x = 311,873,103,936/268,206
  6. Step 6: Final answer
    x = 1,162,811.81

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.