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Finding the Third Proportional to 227,322 and 493,956

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Solution

The third proportional to 227,322 and 493,956 is: 1,073,334.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,322 : 493,956 = 493,956 : x
  2. Step 2: Convert to fraction form
    227,322/493,956 = 493,956/x
  3. Step 3: Cross multiply
    227,322x = 493,956 × 493,956
  4. Step 4: Simplify right side
    227,322x = 243,992,529,936
  5. Step 5: Solve for x
    x = 243,992,529,936/227,322
  6. Step 6: Final answer
    x = 1,073,334.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.