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Finding the Third Proportional to 664,711.31 and 967,998.09

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Solution

The third proportional to 664,711.31 and 967,998.09 is: 1,409,665.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,711.31 : 967,998.09 = 967,998.09 : x
  2. Step 2: Convert to fraction form
    664,711.31/967,998.09 = 967,998.09/x
  3. Step 3: Cross multiply
    664,711.31x = 967,998.09 × 967,998.09
  4. Step 4: Simplify right side
    664,711.31x = 937,020,309,503.63
  5. Step 5: Solve for x
    x = 937,020,309,503.63/664,711.31
  6. Step 6: Final answer
    x = 1,409,665.06

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.