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Finding the Third Proportional to 400,198.50 and 610,463.25

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Solution

The third proportional to 400,198.50 and 610,463.25 is: 931,201.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,198.50 : 610,463.25 = 610,463.25 : x
  2. Step 2: Convert to fraction form
    400,198.50/610,463.25 = 610,463.25/x
  3. Step 3: Cross multiply
    400,198.50x = 610,463.25 × 610,463.25
  4. Step 4: Simplify right side
    400,198.50x = 372,665,379,600.56
  5. Step 5: Solve for x
    x = 372,665,379,600.56/400,198.50
  6. Step 6: Final answer
    x = 931,201.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.