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Finding the Third Proportional to 424.97 and 588.23

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Solution

The third proportional to 424.97 and 588.23 is: 814.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.97 : 588.23 = 588.23 : x
  2. Step 2: Convert to fraction form
    424.97/588.23 = 588.23/x
  3. Step 3: Cross multiply
    424.97x = 588.23 × 588.23
  4. Step 4: Simplify right side
    424.97x = 346,019.68
  5. Step 5: Solve for x
    x = 346,019.68/424.97
  6. Step 6: Final answer
    x = 814.22

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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.