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Finding the Third Proportional to 394,890.19 and 612,496.69

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Solution

The third proportional to 394,890.19 and 612,496.69 is: 950,016.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,890.19 : 612,496.69 = 612,496.69 : x
  2. Step 2: Convert to fraction form
    394,890.19/612,496.69 = 612,496.69/x
  3. Step 3: Cross multiply
    394,890.19x = 612,496.69 × 612,496.69
  4. Step 4: Simplify right side
    394,890.19x = 375,152,192,198.47
  5. Step 5: Solve for x
    x = 375,152,192,198.47/394,890.19
  6. Step 6: Final answer
    x = 950,016.50

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.