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Finding the Third Proportional to 232 and 588

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Solution

The third proportional to 232 and 588 is: 1,490.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    232 : 588 = 588 : x
  2. Step 2: Convert to fraction form
    232/588 = 588/x
  3. Step 3: Cross multiply
    232x = 588 × 588
  4. Step 4: Simplify right side
    232x = 345,744
  5. Step 5: Solve for x
    x = 345,744/232
  6. Step 6: Final answer
    x = 1,490.28

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These problems maintain the same ratio (2.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.