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Finding the Third Proportional to 413,861 and 641,081

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Solution

The third proportional to 413,861 and 641,081 is: 993,050.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,861 : 641,081 = 641,081 : x
  2. Step 2: Convert to fraction form
    413,861/641,081 = 641,081/x
  3. Step 3: Cross multiply
    413,861x = 641,081 × 641,081
  4. Step 4: Simplify right side
    413,861x = 410,984,848,561
  5. Step 5: Solve for x
    x = 410,984,848,561/413,861
  6. Step 6: Final answer
    x = 993,050.44

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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.