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Finding the Third Proportional to 381,202.88 and 828,805.50

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Solution

The third proportional to 381,202.88 and 828,805.50 is: 1,801,976.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,202.88 : 828,805.50 = 828,805.50 : x
  2. Step 2: Convert to fraction form
    381,202.88/828,805.50 = 828,805.50/x
  3. Step 3: Cross multiply
    381,202.88x = 828,805.50 × 828,805.50
  4. Step 4: Simplify right side
    381,202.88x = 686,918,556,830.25
  5. Step 5: Solve for x
    x = 686,918,556,830.25/381,202.88
  6. Step 6: Final answer
    x = 1,801,976.33

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.