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Finding the Third Proportional to 538.88 and 741.94

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Solution

The third proportional to 538.88 and 741.94 is: 1,021.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.88 : 741.94 = 741.94 : x
  2. Step 2: Convert to fraction form
    538.88/741.94 = 741.94/x
  3. Step 3: Cross multiply
    538.88x = 741.94 × 741.94
  4. Step 4: Simplify right side
    538.88x = 550,471.25
  5. Step 5: Solve for x
    x = 550,471.25/538.88
  6. Step 6: Final answer
    x = 1,021.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.