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Finding the Third Proportional to 443 and 592

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Solution

The third proportional to 443 and 592 is: 791.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    443 : 592 = 592 : x
  2. Step 2: Convert to fraction form
    443/592 = 592/x
  3. Step 3: Cross multiply
    443x = 592 × 592
  4. Step 4: Simplify right side
    443x = 350,464
  5. Step 5: Solve for x
    x = 350,464/443
  6. Step 6: Final answer
    x = 791.12

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.