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Finding the Third Proportional to 226,323 and 493,227

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Solution

The third proportional to 226,323 and 493,227 is: 1,074,892.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,323 : 493,227 = 493,227 : x
  2. Step 2: Convert to fraction form
    226,323/493,227 = 493,227/x
  3. Step 3: Cross multiply
    226,323x = 493,227 × 493,227
  4. Step 4: Simplify right side
    226,323x = 243,272,873,529
  5. Step 5: Solve for x
    x = 243,272,873,529/226,323
  6. Step 6: Final answer
    x = 1,074,892.40

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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.