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Finding the Third Proportional to 534.75 and 821.44

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Solution

The third proportional to 534.75 and 821.44 is: 1,261.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.75 : 821.44 = 821.44 : x
  2. Step 2: Convert to fraction form
    534.75/821.44 = 821.44/x
  3. Step 3: Cross multiply
    534.75x = 821.44 × 821.44
  4. Step 4: Simplify right side
    534.75x = 674,759.57
  5. Step 5: Solve for x
    x = 674,759.57/534.75
  6. Step 6: Final answer
    x = 1,261.82

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.