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Finding the Third Proportional to 225,078.75 and 481,261.50

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Solution

The third proportional to 225,078.75 and 481,261.50 is: 1,029,029.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,078.75 : 481,261.50 = 481,261.50 : x
  2. Step 2: Convert to fraction form
    225,078.75/481,261.50 = 481,261.50/x
  3. Step 3: Cross multiply
    225,078.75x = 481,261.50 × 481,261.50
  4. Step 4: Simplify right side
    225,078.75x = 231,612,631,382.25
  5. Step 5: Solve for x
    x = 231,612,631,382.25/225,078.75
  6. Step 6: Final answer
    x = 1,029,029.31

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Why These Related Problems?

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