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Finding the Third Proportional to 799.24 and 1,653.54

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Solution

The third proportional to 799.24 and 1,653.54 is: 3,420.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.24 : 1,653.54 = 1,653.54 : x
  2. Step 2: Convert to fraction form
    799.24/1,653.54 = 1,653.54/x
  3. Step 3: Cross multiply
    799.24x = 1,653.54 × 1,653.54
  4. Step 4: Simplify right side
    799.24x = 2,734,191.43
  5. Step 5: Solve for x
    x = 2,734,191.43/799.24
  6. Step 6: Final answer
    x = 3,420.98

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.