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Finding the Third Proportional to 399,653 and 836,254

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Solution

The third proportional to 399,653 and 836,254 is: 1,749,819.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,653 : 836,254 = 836,254 : x
  2. Step 2: Convert to fraction form
    399,653/836,254 = 836,254/x
  3. Step 3: Cross multiply
    399,653x = 836,254 × 836,254
  4. Step 4: Simplify right side
    399,653x = 699,320,752,516
  5. Step 5: Solve for x
    x = 699,320,752,516/399,653
  6. Step 6: Final answer
    x = 1,749,819.85

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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.