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Finding the Third Proportional to 401,016 and 862,296

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Solution

The third proportional to 401,016 and 862,296 is: 1,854,176.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,016 : 862,296 = 862,296 : x
  2. Step 2: Convert to fraction form
    401,016/862,296 = 862,296/x
  3. Step 3: Cross multiply
    401,016x = 862,296 × 862,296
  4. Step 4: Simplify right side
    401,016x = 743,554,391,616
  5. Step 5: Solve for x
    x = 743,554,391,616/401,016
  6. Step 6: Final answer
    x = 1,854,176.37

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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.