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Finding the Third Proportional to 580.92 and 1,268.16

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Solution

The third proportional to 580.92 and 1,268.16 is: 2,768.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.92 : 1,268.16 = 1,268.16 : x
  2. Step 2: Convert to fraction form
    580.92/1,268.16 = 1,268.16/x
  3. Step 3: Cross multiply
    580.92x = 1,268.16 × 1,268.16
  4. Step 4: Simplify right side
    580.92x = 1,608,220.27
  5. Step 5: Solve for x
    x = 1,608,220.27/580.92
  6. Step 6: Final answer
    x = 2,768.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.