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Finding the Third Proportional to 225,822.75 and 496,559.25

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Solution

The third proportional to 225,822.75 and 496,559.25 is: 1,091,878.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,822.75 : 496,559.25 = 496,559.25 : x
  2. Step 2: Convert to fraction form
    225,822.75/496,559.25 = 496,559.25/x
  3. Step 3: Cross multiply
    225,822.75x = 496,559.25 × 496,559.25
  4. Step 4: Simplify right side
    225,822.75x = 246,571,088,760.56
  5. Step 5: Solve for x
    x = 246,571,088,760.56/225,822.75
  6. Step 6: Final answer
    x = 1,091,878.87

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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.