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Finding the Third Proportional to 580.69 and 1,226.06

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Solution

The third proportional to 580.69 and 1,226.06 is: 2,588.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.69 : 1,226.06 = 1,226.06 : x
  2. Step 2: Convert to fraction form
    580.69/1,226.06 = 1,226.06/x
  3. Step 3: Cross multiply
    580.69x = 1,226.06 × 1,226.06
  4. Step 4: Simplify right side
    580.69x = 1,503,229.25
  5. Step 5: Solve for x
    x = 1,503,229.25/580.69
  6. Step 6: Final answer
    x = 2,588.71

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.