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Finding the Third Proportional to 497.75 and 757.25

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Solution

The third proportional to 497.75 and 757.25 is: 1,152.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.75 : 757.25 = 757.25 : x
  2. Step 2: Convert to fraction form
    497.75/757.25 = 757.25/x
  3. Step 3: Cross multiply
    497.75x = 757.25 × 757.25
  4. Step 4: Simplify right side
    497.75x = 573,427.56
  5. Step 5: Solve for x
    x = 573,427.56/497.75
  6. Step 6: Final answer
    x = 1,152.04

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.