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Finding the Third Proportional to 397,838.25 and 814,060.13

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Solution

The third proportional to 397,838.25 and 814,060.13 is: 1,665,736.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,838.25 : 814,060.13 = 814,060.13 : x
  2. Step 2: Convert to fraction form
    397,838.25/814,060.13 = 814,060.13/x
  3. Step 3: Cross multiply
    397,838.25x = 814,060.13 × 814,060.13
  4. Step 4: Simplify right side
    397,838.25x = 662,693,887,115.02
  5. Step 5: Solve for x
    x = 662,693,887,115.02/397,838.25
  6. Step 6: Final answer
    x = 1,665,736.99

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