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Finding the Third Proportional to 535.25 and 799.19

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Solution

The third proportional to 535.25 and 799.19 is: 1,193.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.25 : 799.19 = 799.19 : x
  2. Step 2: Convert to fraction form
    535.25/799.19 = 799.19/x
  3. Step 3: Cross multiply
    535.25x = 799.19 × 799.19
  4. Step 4: Simplify right side
    535.25x = 638,700.66
  5. Step 5: Solve for x
    x = 638,700.66/535.25
  6. Step 6: Final answer
    x = 1,193.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.