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Finding the Third Proportional to 399,616 and 836,176

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Solution

The third proportional to 399,616 and 836,176 is: 1,749,655.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,616 : 836,176 = 836,176 : x
  2. Step 2: Convert to fraction form
    399,616/836,176 = 836,176/x
  3. Step 3: Cross multiply
    399,616x = 836,176 × 836,176
  4. Step 4: Simplify right side
    399,616x = 699,190,302,976
  5. Step 5: Solve for x
    x = 699,190,302,976/399,616
  6. Step 6: Final answer
    x = 1,749,655.43

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.