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Finding the Third Proportional to 398,433 and 863,238

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Solution

The third proportional to 398,433 and 863,238 is: 1,870,276.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,433 : 863,238 = 863,238 : x
  2. Step 2: Convert to fraction form
    398,433/863,238 = 863,238/x
  3. Step 3: Cross multiply
    398,433x = 863,238 × 863,238
  4. Step 4: Simplify right side
    398,433x = 745,179,844,644
  5. Step 5: Solve for x
    x = 745,179,844,644/398,433
  6. Step 6: Final answer
    x = 1,870,276.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.