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Finding the Third Proportional to 399,654 and 836,256

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Solution

The third proportional to 399,654 and 836,256 is: 1,749,823.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,654 : 836,256 = 836,256 : x
  2. Step 2: Convert to fraction form
    399,654/836,256 = 836,256/x
  3. Step 3: Cross multiply
    399,654x = 836,256 × 836,256
  4. Step 4: Simplify right side
    399,654x = 699,324,097,536
  5. Step 5: Solve for x
    x = 699,324,097,536/399,654
  6. Step 6: Final answer
    x = 1,749,823.84

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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.