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Finding the Third Proportional to 496,611 and 768,806.44

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Solution

The third proportional to 496,611 and 768,806.44 is: 1,190,193.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,611 : 768,806.44 = 768,806.44 : x
  2. Step 2: Convert to fraction form
    496,611/768,806.44 = 768,806.44/x
  3. Step 3: Cross multiply
    496,611x = 768,806.44 × 768,806.44
  4. Step 4: Simplify right side
    496,611x = 591,063,338,341.44
  5. Step 5: Solve for x
    x = 591,063,338,341.44/496,611
  6. Step 6: Final answer
    x = 1,190,193.81

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.