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Finding the Third Proportional to 665,380.41 and 996,943.78

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Solution

The third proportional to 665,380.41 and 996,943.78 is: 1,493,727.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,380.41 : 996,943.78 = 996,943.78 : x
  2. Step 2: Convert to fraction form
    665,380.41/996,943.78 = 996,943.78/x
  3. Step 3: Cross multiply
    665,380.41x = 996,943.78 × 996,943.78
  4. Step 4: Simplify right side
    665,380.41x = 993,896,902,973.05
  5. Step 5: Solve for x
    x = 993,896,902,973.05/665,380.41
  6. Step 6: Final answer
    x = 1,493,727.34

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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.