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Finding the Third Proportional to 268,081 and 558,212

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Solution

The third proportional to 268,081 and 558,212 is: 1,162,337.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,081 : 558,212 = 558,212 : x
  2. Step 2: Convert to fraction form
    268,081/558,212 = 558,212/x
  3. Step 3: Cross multiply
    268,081x = 558,212 × 558,212
  4. Step 4: Simplify right side
    268,081x = 311,600,636,944
  5. Step 5: Solve for x
    x = 311,600,636,944/268,081
  6. Step 6: Final answer
    x = 1,162,337.64

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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.