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Finding the Third Proportional to 538.13 and 588.38

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Solution

The third proportional to 538.13 and 588.38 is: 643.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.13 : 588.38 = 588.38 : x
  2. Step 2: Convert to fraction form
    538.13/588.38 = 588.38/x
  3. Step 3: Cross multiply
    538.13x = 588.38 × 588.38
  4. Step 4: Simplify right side
    538.13x = 346,185.14
  5. Step 5: Solve for x
    x = 346,185.14/538.13
  6. Step 6: Final answer
    x = 643.32

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.