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Finding the Third Proportional to 605.76 and 1,250.44

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Solution

The third proportional to 605.76 and 1,250.44 is: 2,581.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.76 : 1,250.44 = 1,250.44 : x
  2. Step 2: Convert to fraction form
    605.76/1,250.44 = 1,250.44/x
  3. Step 3: Cross multiply
    605.76x = 1,250.44 × 1,250.44
  4. Step 4: Simplify right side
    605.76x = 1,563,593.94
  5. Step 5: Solve for x
    x = 1,563,593.94/605.76
  6. Step 6: Final answer
    x = 2,581.21

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.