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Finding the Third Proportional to 226,877 and 493,759

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Solution

The third proportional to 226,877 and 493,759 is: 1,074,582.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,877 : 493,759 = 493,759 : x
  2. Step 2: Convert to fraction form
    226,877/493,759 = 493,759/x
  3. Step 3: Cross multiply
    226,877x = 493,759 × 493,759
  4. Step 4: Simplify right side
    226,877x = 243,797,950,081
  5. Step 5: Solve for x
    x = 243,797,950,081/226,877
  6. Step 6: Final answer
    x = 1,074,582.04

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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.