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Finding the Third Proportional to 221,990 and 488,172

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Solution

The third proportional to 221,990 and 488,172 is: 1,073,525.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,990 : 488,172 = 488,172 : x
  2. Step 2: Convert to fraction form
    221,990/488,172 = 488,172/x
  3. Step 3: Cross multiply
    221,990x = 488,172 × 488,172
  4. Step 4: Simplify right side
    221,990x = 238,311,901,584
  5. Step 5: Solve for x
    x = 238,311,901,584/221,990
  6. Step 6: Final answer
    x = 1,073,525.39

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.