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Finding the Third Proportional to 226,857.74 and 493,722.37

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Solution

The third proportional to 226,857.74 and 493,722.37 is: 1,074,513.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,857.74 : 493,722.37 = 493,722.37 : x
  2. Step 2: Convert to fraction form
    226,857.74/493,722.37 = 493,722.37/x
  3. Step 3: Cross multiply
    226,857.74x = 493,722.37 × 493,722.37
  4. Step 4: Simplify right side
    226,857.74x = 243,761,777,789.85
  5. Step 5: Solve for x
    x = 243,761,777,789.85/226,857.74
  6. Step 6: Final answer
    x = 1,074,513.80

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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.