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Finding the Third Proportional to 799.31 and 1,515.09

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Solution

The third proportional to 799.31 and 1,515.09 is: 2,871.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.31 : 1,515.09 = 1,515.09 : x
  2. Step 2: Convert to fraction form
    799.31/1,515.09 = 1,515.09/x
  3. Step 3: Cross multiply
    799.31x = 1,515.09 × 1,515.09
  4. Step 4: Simplify right side
    799.31x = 2,295,509.07
  5. Step 5: Solve for x
    x = 2,295,509.07/799.31
  6. Step 6: Final answer
    x = 2,871.85

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.