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Finding the Third Proportional to 394,405 and 863,442

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Solution

The third proportional to 394,405 and 863,442 is: 1,890,270.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,405 : 863,442 = 863,442 : x
  2. Step 2: Convert to fraction form
    394,405/863,442 = 863,442/x
  3. Step 3: Cross multiply
    394,405x = 863,442 × 863,442
  4. Step 4: Simplify right side
    394,405x = 745,532,087,364
  5. Step 5: Solve for x
    x = 745,532,087,364/394,405
  6. Step 6: Final answer
    x = 1,890,270.38

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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.