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Finding the Third Proportional to 505,163.25 and 784,383.75

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Solution

The third proportional to 505,163.25 and 784,383.75 is: 1,217,938.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,163.25 : 784,383.75 = 784,383.75 : x
  2. Step 2: Convert to fraction form
    505,163.25/784,383.75 = 784,383.75/x
  3. Step 3: Cross multiply
    505,163.25x = 784,383.75 × 784,383.75
  4. Step 4: Simplify right side
    505,163.25x = 615,257,867,264.06
  5. Step 5: Solve for x
    x = 615,257,867,264.06/505,163.25
  6. Step 6: Final answer
    x = 1,217,938.69

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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.