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Finding the Third Proportional to 373,771.97 and 796,478.06

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Solution

The third proportional to 373,771.97 and 796,478.06 is: 1,697,230.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,771.97 : 796,478.06 = 796,478.06 : x
  2. Step 2: Convert to fraction form
    373,771.97/796,478.06 = 796,478.06/x
  3. Step 3: Cross multiply
    373,771.97x = 796,478.06 × 796,478.06
  4. Step 4: Simplify right side
    373,771.97x = 634,377,304,043.75
  5. Step 5: Solve for x
    x = 634,377,304,043.75/373,771.97
  6. Step 6: Final answer
    x = 1,697,230.82

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.