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Finding the Third Proportional to 799.03 and 1,837.69

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Solution

The third proportional to 799.03 and 1,837.69 is: 4,226.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.03 : 1,837.69 = 1,837.69 : x
  2. Step 2: Convert to fraction form
    799.03/1,837.69 = 1,837.69/x
  3. Step 3: Cross multiply
    799.03x = 1,837.69 × 1,837.69
  4. Step 4: Simplify right side
    799.03x = 3,377,095.35
  5. Step 5: Solve for x
    x = 3,377,095.35/799.03
  6. Step 6: Final answer
    x = 4,226.49

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.