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Finding the Third Proportional to 226,767 and 494,979

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Solution

The third proportional to 226,767 and 494,979 is: 1,080,422.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,767 : 494,979 = 494,979 : x
  2. Step 2: Convert to fraction form
    226,767/494,979 = 494,979/x
  3. Step 3: Cross multiply
    226,767x = 494,979 × 494,979
  4. Step 4: Simplify right side
    226,767x = 245,004,210,441
  5. Step 5: Solve for x
    x = 245,004,210,441/226,767
  6. Step 6: Final answer
    x = 1,080,422.68

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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.