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Finding the Third Proportional to 576.65 and 1,268.63

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Solution

The third proportional to 576.65 and 1,268.63 is: 2,790.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.65 : 1,268.63 = 1,268.63 : x
  2. Step 2: Convert to fraction form
    576.65/1,268.63 = 1,268.63/x
  3. Step 3: Cross multiply
    576.65x = 1,268.63 × 1,268.63
  4. Step 4: Simplify right side
    576.65x = 1,609,424.26
  5. Step 5: Solve for x
    x = 1,609,424.26/576.65
  6. Step 6: Final answer
    x = 2,790.99

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.