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Finding the Third Proportional to 353,539.50 and 763,099.50

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Solution

The third proportional to 353,539.50 and 763,099.50 is: 1,647,116.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,539.50 : 763,099.50 = 763,099.50 : x
  2. Step 2: Convert to fraction form
    353,539.50/763,099.50 = 763,099.50/x
  3. Step 3: Cross multiply
    353,539.50x = 763,099.50 × 763,099.50
  4. Step 4: Simplify right side
    353,539.50x = 582,320,846,900.25
  5. Step 5: Solve for x
    x = 582,320,846,900.25/353,539.50
  6. Step 6: Final answer
    x = 1,647,116.79

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.