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Finding the Third Proportional to 397,623 and 854,573

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Solution

The third proportional to 397,623 and 854,573 is: 1,836,651.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,623 : 854,573 = 854,573 : x
  2. Step 2: Convert to fraction form
    397,623/854,573 = 854,573/x
  3. Step 3: Cross multiply
    397,623x = 854,573 × 854,573
  4. Step 4: Simplify right side
    397,623x = 730,295,012,329
  5. Step 5: Solve for x
    x = 730,295,012,329/397,623
  6. Step 6: Final answer
    x = 1,836,651.83

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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.