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Finding the Third Proportional to 445,115.25 and 943,204.50

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Solution

The third proportional to 445,115.25 and 943,204.50 is: 1,998,661.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,115.25 : 943,204.50 = 943,204.50 : x
  2. Step 2: Convert to fraction form
    445,115.25/943,204.50 = 943,204.50/x
  3. Step 3: Cross multiply
    445,115.25x = 943,204.50 × 943,204.50
  4. Step 4: Simplify right side
    445,115.25x = 889,634,728,820.25
  5. Step 5: Solve for x
    x = 889,634,728,820.25/445,115.25
  6. Step 6: Final answer
    x = 1,998,661.54

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.