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Finding the Third Proportional to 414,591.75 and 904,224.94

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Solution

The third proportional to 414,591.75 and 904,224.94 is: 1,972,115.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,591.75 : 904,224.94 = 904,224.94 : x
  2. Step 2: Convert to fraction form
    414,591.75/904,224.94 = 904,224.94/x
  3. Step 3: Cross multiply
    414,591.75x = 904,224.94 × 904,224.94
  4. Step 4: Simplify right side
    414,591.75x = 817,622,737,596.88
  5. Step 5: Solve for x
    x = 817,622,737,596.88/414,591.75
  6. Step 6: Final answer
    x = 1,972,115.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.