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Finding the Third Proportional to 534.75 and 795.25

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Solution

The third proportional to 534.75 and 795.25 is: 1,182.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.75 : 795.25 = 795.25 : x
  2. Step 2: Convert to fraction form
    534.75/795.25 = 795.25/x
  3. Step 3: Cross multiply
    534.75x = 795.25 × 795.25
  4. Step 4: Simplify right side
    534.75x = 632,422.56
  5. Step 5: Solve for x
    x = 632,422.56/534.75
  6. Step 6: Final answer
    x = 1,182.65

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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.