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Finding the Third Proportional to 684,709.50 and 1,068,517.50

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Solution

The third proportional to 684,709.50 and 1,068,517.50 is: 1,667,465.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,709.50 : 1,068,517.50 = 1,068,517.50 : x
  2. Step 2: Convert to fraction form
    684,709.50/1,068,517.50 = 1,068,517.50/x
  3. Step 3: Cross multiply
    684,709.50x = 1,068,517.50 × 1,068,517.50
  4. Step 4: Simplify right side
    684,709.50x = 1,141,729,647,806.25
  5. Step 5: Solve for x
    x = 1,141,729,647,806.25/684,709.50
  6. Step 6: Final answer
    x = 1,667,465.76

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.