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Finding the Third Proportional to 394,647 and 558,436.50

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Solution

The third proportional to 394,647 and 558,436.50 is: 790,203.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,647 : 558,436.50 = 558,436.50 : x
  2. Step 2: Convert to fraction form
    394,647/558,436.50 = 558,436.50/x
  3. Step 3: Cross multiply
    394,647x = 558,436.50 × 558,436.50
  4. Step 4: Simplify right side
    394,647x = 311,851,324,532.25
  5. Step 5: Solve for x
    x = 311,851,324,532.25/394,647
  6. Step 6: Final answer
    x = 790,203.21

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.