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Finding the Third Proportional to 399,883.50 and 844,722

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Solution

The third proportional to 399,883.50 and 844,722 is: 1,784,407.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,883.50 : 844,722 = 844,722 : x
  2. Step 2: Convert to fraction form
    399,883.50/844,722 = 844,722/x
  3. Step 3: Cross multiply
    399,883.50x = 844,722 × 844,722
  4. Step 4: Simplify right side
    399,883.50x = 713,555,257,284
  5. Step 5: Solve for x
    x = 713,555,257,284/399,883.50
  6. Step 6: Final answer
    x = 1,784,407.85

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.