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Finding the Third Proportional to 559.97 and 758.67

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Solution

The third proportional to 559.97 and 758.67 is: 1,027.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.97 : 758.67 = 758.67 : x
  2. Step 2: Convert to fraction form
    559.97/758.67 = 758.67/x
  3. Step 3: Cross multiply
    559.97x = 758.67 × 758.67
  4. Step 4: Simplify right side
    559.97x = 575,583.01
  5. Step 5: Solve for x
    x = 575,583.01/559.97
  6. Step 6: Final answer
    x = 1,027.88

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.