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Finding the Third Proportional to 565.75 and 794.88

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Solution

The third proportional to 565.75 and 794.88 is: 1,116.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.75 : 794.88 = 794.88 : x
  2. Step 2: Convert to fraction form
    565.75/794.88 = 794.88/x
  3. Step 3: Cross multiply
    565.75x = 794.88 × 794.88
  4. Step 4: Simplify right side
    565.75x = 631,826.27
  5. Step 5: Solve for x
    x = 631,826.27/565.75
  6. Step 6: Final answer
    x = 1,116.79

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.