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Finding the Third Proportional to 799.50 and 1,739.63

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Solution

The third proportional to 799.50 and 1,739.63 is: 3,785.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.50 : 1,739.63 = 1,739.63 : x
  2. Step 2: Convert to fraction form
    799.50/1,739.63 = 1,739.63/x
  3. Step 3: Cross multiply
    799.50x = 1,739.63 × 1,739.63
  4. Step 4: Simplify right side
    799.50x = 3,026,295.14
  5. Step 5: Solve for x
    x = 3,026,295.14/799.50
  6. Step 6: Final answer
    x = 3,785.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.