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Finding the Third Proportional to 505,179.91 and 762,998.17

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Solution

The third proportional to 505,179.91 and 762,998.17 is: 1,152,393.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,179.91 : 762,998.17 = 762,998.17 : x
  2. Step 2: Convert to fraction form
    505,179.91/762,998.17 = 762,998.17/x
  3. Step 3: Cross multiply
    505,179.91x = 762,998.17 × 762,998.17
  4. Step 4: Simplify right side
    505,179.91x = 582,166,204,323.67
  5. Step 5: Solve for x
    x = 582,166,204,323.67/505,179.91
  6. Step 6: Final answer
    x = 1,152,393.81

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.