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Finding the Third Proportional to 492,115.50 and 711,198

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Solution

The third proportional to 492,115.50 and 711,198 is: 1,027,812.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,115.50 : 711,198 = 711,198 : x
  2. Step 2: Convert to fraction form
    492,115.50/711,198 = 711,198/x
  3. Step 3: Cross multiply
    492,115.50x = 711,198 × 711,198
  4. Step 4: Simplify right side
    492,115.50x = 505,802,595,204
  5. Step 5: Solve for x
    x = 505,802,595,204/492,115.50
  6. Step 6: Final answer
    x = 1,027,812.77

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.