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Finding the Third Proportional to 253,876 and 356,622

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Solution

The third proportional to 253,876 and 356,622 is: 500,950.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,876 : 356,622 = 356,622 : x
  2. Step 2: Convert to fraction form
    253,876/356,622 = 356,622/x
  3. Step 3: Cross multiply
    253,876x = 356,622 × 356,622
  4. Step 4: Simplify right side
    253,876x = 127,179,250,884
  5. Step 5: Solve for x
    x = 127,179,250,884/253,876
  6. Step 6: Final answer
    x = 500,950.27

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.