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Finding the Third Proportional to 225,171.25 and 494,629.25

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Solution

The third proportional to 225,171.25 and 494,629.25 is: 1,086,542.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,171.25 : 494,629.25 = 494,629.25 : x
  2. Step 2: Convert to fraction form
    225,171.25/494,629.25 = 494,629.25/x
  3. Step 3: Cross multiply
    225,171.25x = 494,629.25 × 494,629.25
  4. Step 4: Simplify right side
    225,171.25x = 244,658,094,955.56
  5. Step 5: Solve for x
    x = 244,658,094,955.56/225,171.25
  6. Step 6: Final answer
    x = 1,086,542.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.