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Finding the Third Proportional to 217,812 and 479,768

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Solution

The third proportional to 217,812 and 479,768 is: 1,056,770.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,812 : 479,768 = 479,768 : x
  2. Step 2: Convert to fraction form
    217,812/479,768 = 479,768/x
  3. Step 3: Cross multiply
    217,812x = 479,768 × 479,768
  4. Step 4: Simplify right side
    217,812x = 230,177,333,824
  5. Step 5: Solve for x
    x = 230,177,333,824/217,812
  6. Step 6: Final answer
    x = 1,056,770.67

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.