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Finding the Third Proportional to 575.75 and 746.75

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Solution

The third proportional to 575.75 and 746.75 is: 968.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.75 : 746.75 = 746.75 : x
  2. Step 2: Convert to fraction form
    575.75/746.75 = 746.75/x
  3. Step 3: Cross multiply
    575.75x = 746.75 × 746.75
  4. Step 4: Simplify right side
    575.75x = 557,635.56
  5. Step 5: Solve for x
    x = 557,635.56/575.75
  6. Step 6: Final answer
    x = 968.54

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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.