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Finding the Third Proportional to 664,767 and 996,892.31

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Solution

The third proportional to 664,767 and 996,892.31 is: 1,494,951.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,767 : 996,892.31 = 996,892.31 : x
  2. Step 2: Convert to fraction form
    664,767/996,892.31 = 996,892.31/x
  3. Step 3: Cross multiply
    664,767x = 996,892.31 × 996,892.31
  4. Step 4: Simplify right side
    664,767x = 993,794,282,721.60
  5. Step 5: Solve for x
    x = 993,794,282,721.60/664,767
  6. Step 6: Final answer
    x = 1,494,951.29

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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.