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Finding the Third Proportional to 401,296 and 835,806

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Solution

The third proportional to 401,296 and 835,806 is: 1,740,789.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,296 : 835,806 = 835,806 : x
  2. Step 2: Convert to fraction form
    401,296/835,806 = 835,806/x
  3. Step 3: Cross multiply
    401,296x = 835,806 × 835,806
  4. Step 4: Simplify right side
    401,296x = 698,571,669,636
  5. Step 5: Solve for x
    x = 698,571,669,636/401,296
  6. Step 6: Final answer
    x = 1,740,789.02

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.