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Finding the Third Proportional to 266,844 and 401,238

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Solution

The third proportional to 266,844 and 401,238 is: 603,318.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,844 : 401,238 = 401,238 : x
  2. Step 2: Convert to fraction form
    266,844/401,238 = 401,238/x
  3. Step 3: Cross multiply
    266,844x = 401,238 × 401,238
  4. Step 4: Simplify right side
    266,844x = 160,991,932,644
  5. Step 5: Solve for x
    x = 160,991,932,644/266,844
  6. Step 6: Final answer
    x = 603,318.54

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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.