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Finding the Third Proportional to 422,716.50 and 880,330.50

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Solution

The third proportional to 422,716.50 and 880,330.50 is: 1,833,336.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,716.50 : 880,330.50 = 880,330.50 : x
  2. Step 2: Convert to fraction form
    422,716.50/880,330.50 = 880,330.50/x
  3. Step 3: Cross multiply
    422,716.50x = 880,330.50 × 880,330.50
  4. Step 4: Simplify right side
    422,716.50x = 774,981,789,230.25
  5. Step 5: Solve for x
    x = 774,981,789,230.25/422,716.50
  6. Step 6: Final answer
    x = 1,833,336.97

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.