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Finding the Third Proportional to 664,773 and 996,908

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Solution

The third proportional to 664,773 and 996,908 is: 1,494,984.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,773 : 996,908 = 996,908 : x
  2. Step 2: Convert to fraction form
    664,773/996,908 = 996,908/x
  3. Step 3: Cross multiply
    664,773x = 996,908 × 996,908
  4. Step 4: Simplify right side
    664,773x = 993,825,560,464
  5. Step 5: Solve for x
    x = 993,825,560,464/664,773
  6. Step 6: Final answer
    x = 1,494,984.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.