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Finding the Third Proportional to 394,717 and 954,433

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Solution

The third proportional to 394,717 and 954,433 is: 2,307,836.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,717 : 954,433 = 954,433 : x
  2. Step 2: Convert to fraction form
    394,717/954,433 = 954,433/x
  3. Step 3: Cross multiply
    394,717x = 954,433 × 954,433
  4. Step 4: Simplify right side
    394,717x = 910,942,351,489
  5. Step 5: Solve for x
    x = 910,942,351,489/394,717
  6. Step 6: Final answer
    x = 2,307,836.63

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.