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Finding the Third Proportional to 442,867.50 and 941,093.44

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Solution

The third proportional to 442,867.50 and 941,093.44 is: 1,999,823.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,867.50 : 941,093.44 = 941,093.44 : x
  2. Step 2: Convert to fraction form
    442,867.50/941,093.44 = 941,093.44/x
  3. Step 3: Cross multiply
    442,867.50x = 941,093.44 × 941,093.44
  4. Step 4: Simplify right side
    442,867.50x = 885,656,858,105.57
  5. Step 5: Solve for x
    x = 885,656,858,105.57/442,867.50
  6. Step 6: Final answer
    x = 1,999,823.55

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.