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Finding the Third Proportional to 219,611.25 and 479,499.75

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Solution

The third proportional to 219,611.25 and 479,499.75 is: 1,046,940.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,611.25 : 479,499.75 = 479,499.75 : x
  2. Step 2: Convert to fraction form
    219,611.25/479,499.75 = 479,499.75/x
  3. Step 3: Cross multiply
    219,611.25x = 479,499.75 × 479,499.75
  4. Step 4: Simplify right side
    219,611.25x = 229,920,010,250.06
  5. Step 5: Solve for x
    x = 229,920,010,250.06/219,611.25
  6. Step 6: Final answer
    x = 1,046,940.95

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.