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Finding the Third Proportional to 394,920.56 and 836,907.19

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Solution

The third proportional to 394,920.56 and 836,907.19 is: 1,773,555.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,920.56 : 836,907.19 = 836,907.19 : x
  2. Step 2: Convert to fraction form
    394,920.56/836,907.19 = 836,907.19/x
  3. Step 3: Cross multiply
    394,920.56x = 836,907.19 × 836,907.19
  4. Step 4: Simplify right side
    394,920.56x = 700,413,640,489.16
  5. Step 5: Solve for x
    x = 700,413,640,489.16/394,920.56
  6. Step 6: Final answer
    x = 1,773,555.77

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.