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Finding the Third Proportional to 665,201 and 996,775

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Solution

The third proportional to 665,201 and 996,775 is: 1,493,624.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,201 : 996,775 = 996,775 : x
  2. Step 2: Convert to fraction form
    665,201/996,775 = 996,775/x
  3. Step 3: Cross multiply
    665,201x = 996,775 × 996,775
  4. Step 4: Simplify right side
    665,201x = 993,560,400,625
  5. Step 5: Solve for x
    x = 993,560,400,625/665,201
  6. Step 6: Final answer
    x = 1,493,624.33

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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.