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Finding the Third Proportional to 394,401 and 863,433

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Solution

The third proportional to 394,401 and 863,433 is: 1,890,250.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,401 : 863,433 = 863,433 : x
  2. Step 2: Convert to fraction form
    394,401/863,433 = 863,433/x
  3. Step 3: Cross multiply
    394,401x = 863,433 × 863,433
  4. Step 4: Simplify right side
    394,401x = 745,516,545,489
  5. Step 5: Solve for x
    x = 745,516,545,489/394,401
  6. Step 6: Final answer
    x = 1,890,250.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.