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Finding the Third Proportional to 538.50 and 713.25

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Solution

The third proportional to 538.50 and 713.25 is: 944.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.50 : 713.25 = 713.25 : x
  2. Step 2: Convert to fraction form
    538.50/713.25 = 713.25/x
  3. Step 3: Cross multiply
    538.50x = 713.25 × 713.25
  4. Step 4: Simplify right side
    538.50x = 508,725.56
  5. Step 5: Solve for x
    x = 508,725.56/538.50
  6. Step 6: Final answer
    x = 944.71

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.