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Finding the Third Proportional to 192,411 and 445,382.44

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Solution

The third proportional to 192,411 and 445,382.44 is: 1,030,946.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,411 : 445,382.44 = 445,382.44 : x
  2. Step 2: Convert to fraction form
    192,411/445,382.44 = 445,382.44/x
  3. Step 3: Cross multiply
    192,411x = 445,382.44 × 445,382.44
  4. Step 4: Simplify right side
    192,411x = 198,365,515,633.44
  5. Step 5: Solve for x
    x = 198,365,515,633.44/192,411
  6. Step 6: Final answer
    x = 1,030,946.86

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.