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Finding the Third Proportional to 397,849.50 and 814,083.75

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Solution

The third proportional to 397,849.50 and 814,083.75 is: 1,665,786.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,849.50 : 814,083.75 = 814,083.75 : x
  2. Step 2: Convert to fraction form
    397,849.50/814,083.75 = 814,083.75/x
  3. Step 3: Cross multiply
    397,849.50x = 814,083.75 × 814,083.75
  4. Step 4: Simplify right side
    397,849.50x = 662,732,352,014.06
  5. Step 5: Solve for x
    x = 662,732,352,014.06/397,849.50
  6. Step 6: Final answer
    x = 1,665,786.57

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.