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Finding the Third Proportional to 664,722 and 996,832

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Solution

The third proportional to 664,722 and 996,832 is: 1,494,871.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,722 : 996,832 = 996,832 : x
  2. Step 2: Convert to fraction form
    664,722/996,832 = 996,832/x
  3. Step 3: Cross multiply
    664,722x = 996,832 × 996,832
  4. Step 4: Simplify right side
    664,722x = 993,674,036,224
  5. Step 5: Solve for x
    x = 993,674,036,224/664,722
  6. Step 6: Final answer
    x = 1,494,871.59

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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.