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Finding the Third Proportional to 222,584.25 and 524,910.75

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Solution

The third proportional to 222,584.25 and 524,910.75 is: 1,237,874.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,584.25 : 524,910.75 = 524,910.75 : x
  2. Step 2: Convert to fraction form
    222,584.25/524,910.75 = 524,910.75/x
  3. Step 3: Cross multiply
    222,584.25x = 524,910.75 × 524,910.75
  4. Step 4: Simplify right side
    222,584.25x = 275,531,295,465.56
  5. Step 5: Solve for x
    x = 275,531,295,465.56/222,584.25
  6. Step 6: Final answer
    x = 1,237,874.18

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.