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Finding the Third Proportional to 773.91 and 1,676.06

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Solution

The third proportional to 773.91 and 1,676.06 is: 3,629.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.91 : 1,676.06 = 1,676.06 : x
  2. Step 2: Convert to fraction form
    773.91/1,676.06 = 1,676.06/x
  3. Step 3: Cross multiply
    773.91x = 1,676.06 × 1,676.06
  4. Step 4: Simplify right side
    773.91x = 2,809,185.50
  5. Step 5: Solve for x
    x = 2,809,185.50/773.91
  6. Step 6: Final answer
    x = 3,629.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.