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Finding the Third Proportional to 221,701 and 484,874

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Solution

The third proportional to 221,701 and 484,874 is: 1,060,449.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,701 : 484,874 = 484,874 : x
  2. Step 2: Convert to fraction form
    221,701/484,874 = 484,874/x
  3. Step 3: Cross multiply
    221,701x = 484,874 × 484,874
  4. Step 4: Simplify right side
    221,701x = 235,102,795,876
  5. Step 5: Solve for x
    x = 235,102,795,876/221,701
  6. Step 6: Final answer
    x = 1,060,449.87

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Why These Related Problems?

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