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Finding the Third Proportional to 203,041 and 467,954.50

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Solution

The third proportional to 203,041 and 467,954.50 is: 1,078,508.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,041 : 467,954.50 = 467,954.50 : x
  2. Step 2: Convert to fraction form
    203,041/467,954.50 = 467,954.50/x
  3. Step 3: Cross multiply
    203,041x = 467,954.50 × 467,954.50
  4. Step 4: Simplify right side
    203,041x = 218,981,414,070.25
  5. Step 5: Solve for x
    x = 218,981,414,070.25/203,041
  6. Step 6: Final answer
    x = 1,078,508.35

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.