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Finding the Third Proportional to 226,764 and 494,973

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Solution

The third proportional to 226,764 and 494,973 is: 1,080,410.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,764 : 494,973 = 494,973 : x
  2. Step 2: Convert to fraction form
    226,764/494,973 = 494,973/x
  3. Step 3: Cross multiply
    226,764x = 494,973 × 494,973
  4. Step 4: Simplify right side
    226,764x = 244,998,270,729
  5. Step 5: Solve for x
    x = 244,998,270,729/226,764
  6. Step 6: Final answer
    x = 1,080,410.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.