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Finding the Third Proportional to 583.13 and 757.97

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Solution

The third proportional to 583.13 and 757.97 is: 985.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.13 : 757.97 = 757.97 : x
  2. Step 2: Convert to fraction form
    583.13/757.97 = 757.97/x
  3. Step 3: Cross multiply
    583.13x = 757.97 × 757.97
  4. Step 4: Simplify right side
    583.13x = 574,516.63
  5. Step 5: Solve for x
    x = 574,516.63/583.13
  6. Step 6: Final answer
    x = 985.24

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.