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Finding the Third Proportional to 729,286.50 and 1,103,993.25

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Solution

The third proportional to 729,286.50 and 1,103,993.25 is: 1,671,223.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,286.50 : 1,103,993.25 = 1,103,993.25 : x
  2. Step 2: Convert to fraction form
    729,286.50/1,103,993.25 = 1,103,993.25/x
  3. Step 3: Cross multiply
    729,286.50x = 1,103,993.25 × 1,103,993.25
  4. Step 4: Simplify right side
    729,286.50x = 1,218,801,096,045.56
  5. Step 5: Solve for x
    x = 1,218,801,096,045.56/729,286.50
  6. Step 6: Final answer
    x = 1,671,223.99

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.