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Finding the Third Proportional to 580.22 and 1,276.03

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Solution

The third proportional to 580.22 and 1,276.03 is: 2,806.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.22 : 1,276.03 = 1,276.03 : x
  2. Step 2: Convert to fraction form
    580.22/1,276.03 = 1,276.03/x
  3. Step 3: Cross multiply
    580.22x = 1,276.03 × 1,276.03
  4. Step 4: Simplify right side
    580.22x = 1,628,255.75
  5. Step 5: Solve for x
    x = 1,628,255.75/580.22
  6. Step 6: Final answer
    x = 2,806.28

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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.