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Finding the Third Proportional to 361,015.50 and 773,266

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Solution

The third proportional to 361,015.50 and 773,266 is: 1,656,273.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,015.50 : 773,266 = 773,266 : x
  2. Step 2: Convert to fraction form
    361,015.50/773,266 = 773,266/x
  3. Step 3: Cross multiply
    361,015.50x = 773,266 × 773,266
  4. Step 4: Simplify right side
    361,015.50x = 597,940,306,756
  5. Step 5: Solve for x
    x = 597,940,306,756/361,015.50
  6. Step 6: Final answer
    x = 1,656,273.23

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.