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Finding the Third Proportional to 361,326 and 854,504

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Solution

The third proportional to 361,326 and 854,504 is: 2,020,826.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,326 : 854,504 = 854,504 : x
  2. Step 2: Convert to fraction form
    361,326/854,504 = 854,504/x
  3. Step 3: Cross multiply
    361,326x = 854,504 × 854,504
  4. Step 4: Simplify right side
    361,326x = 730,177,086,016
  5. Step 5: Solve for x
    x = 730,177,086,016/361,326
  6. Step 6: Final answer
    x = 2,020,826.31

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.