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Finding the Third Proportional to 436.25 and 512.75

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Solution

The third proportional to 436.25 and 512.75 is: 602.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.25 : 512.75 = 512.75 : x
  2. Step 2: Convert to fraction form
    436.25/512.75 = 512.75/x
  3. Step 3: Cross multiply
    436.25x = 512.75 × 512.75
  4. Step 4: Simplify right side
    436.25x = 262,912.56
  5. Step 5: Solve for x
    x = 262,912.56/436.25
  6. Step 6: Final answer
    x = 602.66

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These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.