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Finding the Third Proportional to 516.47 and 736.22

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Solution

The third proportional to 516.47 and 736.22 is: 1,049.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.47 : 736.22 = 736.22 : x
  2. Step 2: Convert to fraction form
    516.47/736.22 = 736.22/x
  3. Step 3: Cross multiply
    516.47x = 736.22 × 736.22
  4. Step 4: Simplify right side
    516.47x = 542,018.05
  5. Step 5: Solve for x
    x = 542,018.05/516.47
  6. Step 6: Final answer
    x = 1,049.47

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.