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Finding the Third Proportional to 226,325 and 493,231

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Solution

The third proportional to 226,325 and 493,231 is: 1,074,900.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,325 : 493,231 = 493,231 : x
  2. Step 2: Convert to fraction form
    226,325/493,231 = 493,231/x
  3. Step 3: Cross multiply
    226,325x = 493,231 × 493,231
  4. Step 4: Simplify right side
    226,325x = 243,276,819,361
  5. Step 5: Solve for x
    x = 243,276,819,361/226,325
  6. Step 6: Final answer
    x = 1,074,900.34

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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.