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Finding the Third Proportional to 327,308.34 and 789,900.19

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Solution

The third proportional to 327,308.34 and 789,900.19 is: 1,906,282.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,308.34 : 789,900.19 = 789,900.19 : x
  2. Step 2: Convert to fraction form
    327,308.34/789,900.19 = 789,900.19/x
  3. Step 3: Cross multiply
    327,308.34x = 789,900.19 × 789,900.19
  4. Step 4: Simplify right side
    327,308.34x = 623,942,306,212.54
  5. Step 5: Solve for x
    x = 623,942,306,212.54/327,308.34
  6. Step 6: Final answer
    x = 1,906,282.92

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.