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Finding the Third Proportional to 258 and 570.75

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Solution

The third proportional to 258 and 570.75 is: 1,262.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    258 : 570.75 = 570.75 : x
  2. Step 2: Convert to fraction form
    258/570.75 = 570.75/x
  3. Step 3: Cross multiply
    258x = 570.75 × 570.75
  4. Step 4: Simplify right side
    258x = 325,755.56
  5. Step 5: Solve for x
    x = 325,755.56/258
  6. Step 6: Final answer
    x = 1,262.62

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.