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Finding the Third Proportional to 429,611 and 848,375

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Solution

The third proportional to 429,611 and 848,375 is: 1,675,329.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,611 : 848,375 = 848,375 : x
  2. Step 2: Convert to fraction form
    429,611/848,375 = 848,375/x
  3. Step 3: Cross multiply
    429,611x = 848,375 × 848,375
  4. Step 4: Simplify right side
    429,611x = 719,740,140,625
  5. Step 5: Solve for x
    x = 719,740,140,625/429,611
  6. Step 6: Final answer
    x = 1,675,329.87

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.