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Finding the Third Proportional to 696 and 738

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Solution

The third proportional to 696 and 738 is: 782.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    696 : 738 = 738 : x
  2. Step 2: Convert to fraction form
    696/738 = 738/x
  3. Step 3: Cross multiply
    696x = 738 × 738
  4. Step 4: Simplify right side
    696x = 544,644
  5. Step 5: Solve for x
    x = 544,644/696
  6. Step 6: Final answer
    x = 782.53

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These problems maintain the same ratio (1.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.