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Finding the Third Proportional to 188,464.50 and 444,552.75

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Solution

The third proportional to 188,464.50 and 444,552.75 is: 1,048,617.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,464.50 : 444,552.75 = 444,552.75 : x
  2. Step 2: Convert to fraction form
    188,464.50/444,552.75 = 444,552.75/x
  3. Step 3: Cross multiply
    188,464.50x = 444,552.75 × 444,552.75
  4. Step 4: Simplify right side
    188,464.50x = 197,627,147,532.56
  5. Step 5: Solve for x
    x = 197,627,147,532.56/188,464.50
  6. Step 6: Final answer
    x = 1,048,617.37

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Why These Related Problems?

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