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Finding the Third Proportional to 638,705.25 and 1,394,959.50

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Solution

The third proportional to 638,705.25 and 1,394,959.50 is: 3,046,651.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,705.25 : 1,394,959.50 = 1,394,959.50 : x
  2. Step 2: Convert to fraction form
    638,705.25/1,394,959.50 = 1,394,959.50/x
  3. Step 3: Cross multiply
    638,705.25x = 1,394,959.50 × 1,394,959.50
  4. Step 4: Simplify right side
    638,705.25x = 1,945,912,006,640.25
  5. Step 5: Solve for x
    x = 1,945,912,006,640.25/638,705.25
  6. Step 6: Final answer
    x = 3,046,651.03

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.