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Finding the Third Proportional to 226,769 and 494,983

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Solution

The third proportional to 226,769 and 494,983 is: 1,080,430.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,769 : 494,983 = 494,983 : x
  2. Step 2: Convert to fraction form
    226,769/494,983 = 494,983/x
  3. Step 3: Cross multiply
    226,769x = 494,983 × 494,983
  4. Step 4: Simplify right side
    226,769x = 245,008,170,289
  5. Step 5: Solve for x
    x = 245,008,170,289/226,769
  6. Step 6: Final answer
    x = 1,080,430.62

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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.