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Finding the Third Proportional to 535.59 and 796.64

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Solution

The third proportional to 535.59 and 796.64 is: 1,184.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.59 : 796.64 = 796.64 : x
  2. Step 2: Convert to fraction form
    535.59/796.64 = 796.64/x
  3. Step 3: Cross multiply
    535.59x = 796.64 × 796.64
  4. Step 4: Simplify right side
    535.59x = 634,636.29
  5. Step 5: Solve for x
    x = 634,636.29/535.59
  6. Step 6: Final answer
    x = 1,184.92

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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.