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Finding the Third Proportional to 370.20 and 799.24

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Solution

The third proportional to 370.20 and 799.24 is: 1,725.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.20 : 799.24 = 799.24 : x
  2. Step 2: Convert to fraction form
    370.20/799.24 = 799.24/x
  3. Step 3: Cross multiply
    370.20x = 799.24 × 799.24
  4. Step 4: Simplify right side
    370.20x = 638,788.07
  5. Step 5: Solve for x
    x = 638,788.07/370.20
  6. Step 6: Final answer
    x = 1,725.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.