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Finding the Third Proportional to 253,286 and 401,067

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Solution

The third proportional to 253,286 and 401,067 is: 635,071.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,286 : 401,067 = 401,067 : x
  2. Step 2: Convert to fraction form
    253,286/401,067 = 401,067/x
  3. Step 3: Cross multiply
    253,286x = 401,067 × 401,067
  4. Step 4: Simplify right side
    253,286x = 160,854,738,489
  5. Step 5: Solve for x
    x = 160,854,738,489/253,286
  6. Step 6: Final answer
    x = 635,071.57

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.