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Finding the Third Proportional to 561,034.50 and 789,135.75

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Solution

The third proportional to 561,034.50 and 789,135.75 is: 1,109,976.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,034.50 : 789,135.75 = 789,135.75 : x
  2. Step 2: Convert to fraction form
    561,034.50/789,135.75 = 789,135.75/x
  3. Step 3: Cross multiply
    561,034.50x = 789,135.75 × 789,135.75
  4. Step 4: Simplify right side
    561,034.50x = 622,735,231,928.06
  5. Step 5: Solve for x
    x = 622,735,231,928.06/561,034.50
  6. Step 6: Final answer
    x = 1,109,976.72

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.