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Finding the Third Proportional to 416,213.44 and 897,216.75

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Solution

The third proportional to 416,213.44 and 897,216.75 is: 1,934,098.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,213.44 : 897,216.75 = 897,216.75 : x
  2. Step 2: Convert to fraction form
    416,213.44/897,216.75 = 897,216.75/x
  3. Step 3: Cross multiply
    416,213.44x = 897,216.75 × 897,216.75
  4. Step 4: Simplify right side
    416,213.44x = 804,997,896,480.56
  5. Step 5: Solve for x
    x = 804,997,896,480.56/416,213.44
  6. Step 6: Final answer
    x = 1,934,098.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.