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Finding the Third Proportional to 397,835.44 and 814,055.06

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Solution

The third proportional to 397,835.44 and 814,055.06 is: 1,665,728.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,835.44 : 814,055.06 = 814,055.06 : x
  2. Step 2: Convert to fraction form
    397,835.44/814,055.06 = 814,055.06/x
  3. Step 3: Cross multiply
    397,835.44x = 814,055.06 × 814,055.06
  4. Step 4: Simplify right side
    397,835.44x = 662,685,644,781.88
  5. Step 5: Solve for x
    x = 662,685,644,781.88/397,835.44
  6. Step 6: Final answer
    x = 1,665,728.04

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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.