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Finding the Third Proportional to 227,858 and 332,956

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Solution

The third proportional to 227,858 and 332,956 is: 486,529.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,858 : 332,956 = 332,956 : x
  2. Step 2: Convert to fraction form
    227,858/332,956 = 332,956/x
  3. Step 3: Cross multiply
    227,858x = 332,956 × 332,956
  4. Step 4: Simplify right side
    227,858x = 110,859,697,936
  5. Step 5: Solve for x
    x = 110,859,697,936/227,858
  6. Step 6: Final answer
    x = 486,529.76

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.