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Finding the Third Proportional to 226,437.75 and 484,584.75

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Solution

The third proportional to 226,437.75 and 484,584.75 is: 1,037,028.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,437.75 : 484,584.75 = 484,584.75 : x
  2. Step 2: Convert to fraction form
    226,437.75/484,584.75 = 484,584.75/x
  3. Step 3: Cross multiply
    226,437.75x = 484,584.75 × 484,584.75
  4. Step 4: Simplify right side
    226,437.75x = 234,822,379,932.56
  5. Step 5: Solve for x
    x = 234,822,379,932.56/226,437.75
  6. Step 6: Final answer
    x = 1,037,028.41

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.