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Finding the Third Proportional to 221,838.75 and 485,657.44

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Solution

The third proportional to 221,838.75 and 485,657.44 is: 1,063,218.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,838.75 : 485,657.44 = 485,657.44 : x
  2. Step 2: Convert to fraction form
    221,838.75/485,657.44 = 485,657.44/x
  3. Step 3: Cross multiply
    221,838.75x = 485,657.44 × 485,657.44
  4. Step 4: Simplify right side
    221,838.75x = 235,863,146,599.07
  5. Step 5: Solve for x
    x = 235,863,146,599.07/221,838.75
  6. Step 6: Final answer
    x = 1,063,218.88

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.