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Finding the Third Proportional to 574.59 and 863.16

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Solution

The third proportional to 574.59 and 863.16 is: 1,296.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.59 : 863.16 = 863.16 : x
  2. Step 2: Convert to fraction form
    574.59/863.16 = 863.16/x
  3. Step 3: Cross multiply
    574.59x = 863.16 × 863.16
  4. Step 4: Simplify right side
    574.59x = 745,038.71
  5. Step 5: Solve for x
    x = 745,038.71/574.59
  6. Step 6: Final answer
    x = 1,296.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.