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Finding the Third Proportional to 538.21 and 730.42

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Solution

The third proportional to 538.21 and 730.42 is: 991.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.21 : 730.42 = 730.42 : x
  2. Step 2: Convert to fraction form
    538.21/730.42 = 730.42/x
  3. Step 3: Cross multiply
    538.21x = 730.42 × 730.42
  4. Step 4: Simplify right side
    538.21x = 533,518.97
  5. Step 5: Solve for x
    x = 533,518.97/538.21
  6. Step 6: Final answer
    x = 991.29

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.