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Finding the Third Proportional to 221,393.25 and 475,035.75

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Solution

The third proportional to 221,393.25 and 475,035.75 is: 1,019,267.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,393.25 : 475,035.75 = 475,035.75 : x
  2. Step 2: Convert to fraction form
    221,393.25/475,035.75 = 475,035.75/x
  3. Step 3: Cross multiply
    221,393.25x = 475,035.75 × 475,035.75
  4. Step 4: Simplify right side
    221,393.25x = 225,658,963,778.06
  5. Step 5: Solve for x
    x = 225,658,963,778.06/221,393.25
  6. Step 6: Final answer
    x = 1,019,267.59

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.