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Finding the Third Proportional to 222,663.94 and 485,289.56

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Solution

The third proportional to 222,663.94 and 485,289.56 is: 1,057,674.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,663.94 : 485,289.56 = 485,289.56 : x
  2. Step 2: Convert to fraction form
    222,663.94/485,289.56 = 485,289.56/x
  3. Step 3: Cross multiply
    222,663.94x = 485,289.56 × 485,289.56
  4. Step 4: Simplify right side
    222,663.94x = 235,505,959,471.44
  5. Step 5: Solve for x
    x = 235,505,959,471.44/222,663.94
  6. Step 6: Final answer
    x = 1,057,674.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.