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Finding the Third Proportional to 664,733 and 996,848

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Solution

The third proportional to 664,733 and 996,848 is: 1,494,894.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,733 : 996,848 = 996,848 : x
  2. Step 2: Convert to fraction form
    664,733/996,848 = 996,848/x
  3. Step 3: Cross multiply
    664,733x = 996,848 × 996,848
  4. Step 4: Simplify right side
    664,733x = 993,705,935,104
  5. Step 5: Solve for x
    x = 993,705,935,104/664,733
  6. Step 6: Final answer
    x = 1,494,894.85

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Why These Related Problems?

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