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Finding the Third Proportional to 534.94 and 825.28

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Solution

The third proportional to 534.94 and 825.28 is: 1,273.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.94 : 825.28 = 825.28 : x
  2. Step 2: Convert to fraction form
    534.94/825.28 = 825.28/x
  3. Step 3: Cross multiply
    534.94x = 825.28 × 825.28
  4. Step 4: Simplify right side
    534.94x = 681,089.14
  5. Step 5: Solve for x
    x = 681,089.14/534.94
  6. Step 6: Final answer
    x = 1,273.21

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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.