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Finding the Third Proportional to 508.17 and 762.26

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Solution

The third proportional to 508.17 and 762.26 is: 1,143.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.17 : 762.26 = 762.26 : x
  2. Step 2: Convert to fraction form
    508.17/762.26 = 762.26/x
  3. Step 3: Cross multiply
    508.17x = 762.26 × 762.26
  4. Step 4: Simplify right side
    508.17x = 581,039.90
  5. Step 5: Solve for x
    x = 581,039.90/508.17
  6. Step 6: Final answer
    x = 1,143.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.