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Finding the Third Proportional to 399,696 and 858,684

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Solution

The third proportional to 399,696 and 858,684 is: 1,844,747.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,696 : 858,684 = 858,684 : x
  2. Step 2: Convert to fraction form
    399,696/858,684 = 858,684/x
  3. Step 3: Cross multiply
    399,696x = 858,684 × 858,684
  4. Step 4: Simplify right side
    399,696x = 737,338,211,856
  5. Step 5: Solve for x
    x = 737,338,211,856/399,696
  6. Step 6: Final answer
    x = 1,844,747.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.