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Finding the Third Proportional to 222,924.52 and 496,905.19

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Solution

The third proportional to 222,924.52 and 496,905.19 is: 1,107,616.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,924.52 : 496,905.19 = 496,905.19 : x
  2. Step 2: Convert to fraction form
    222,924.52/496,905.19 = 496,905.19/x
  3. Step 3: Cross multiply
    222,924.52x = 496,905.19 × 496,905.19
  4. Step 4: Simplify right side
    222,924.52x = 246,914,765,364.41
  5. Step 5: Solve for x
    x = 246,914,765,364.41/222,924.52
  6. Step 6: Final answer
    x = 1,107,616.02

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.