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Finding the Third Proportional to 397,888.88 and 814,161.38

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Solution

The third proportional to 397,888.88 and 814,161.38 is: 1,665,939.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,888.88 : 814,161.38 = 814,161.38 : x
  2. Step 2: Convert to fraction form
    397,888.88/814,161.38 = 814,161.38/x
  3. Step 3: Cross multiply
    397,888.88x = 814,161.38 × 814,161.38
  4. Step 4: Simplify right side
    397,888.88x = 662,858,744,541.89
  5. Step 5: Solve for x
    x = 662,858,744,541.89/397,888.88
  6. Step 6: Final answer
    x = 1,665,939.38

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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.