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Finding the Third Proportional to 551,922.75 and 809,709.75

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Solution

The third proportional to 551,922.75 and 809,709.75 is: 1,187,901.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,922.75 : 809,709.75 = 809,709.75 : x
  2. Step 2: Convert to fraction form
    551,922.75/809,709.75 = 809,709.75/x
  3. Step 3: Cross multiply
    551,922.75x = 809,709.75 × 809,709.75
  4. Step 4: Simplify right side
    551,922.75x = 655,629,879,245.06
  5. Step 5: Solve for x
    x = 655,629,879,245.06/551,922.75
  6. Step 6: Final answer
    x = 1,187,901.53

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.