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Finding the Third Proportional to 529.75 and 649.75

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Solution

The third proportional to 529.75 and 649.75 is: 796.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.75 : 649.75 = 649.75 : x
  2. Step 2: Convert to fraction form
    529.75/649.75 = 649.75/x
  3. Step 3: Cross multiply
    529.75x = 649.75 × 649.75
  4. Step 4: Simplify right side
    529.75x = 422,175.06
  5. Step 5: Solve for x
    x = 422,175.06/529.75
  6. Step 6: Final answer
    x = 796.93

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Why These Related Problems?

These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.