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Finding the Third Proportional to 773.51 and 1,700.79

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Solution

The third proportional to 773.51 and 1,700.79 is: 3,739.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.51 : 1,700.79 = 1,700.79 : x
  2. Step 2: Convert to fraction form
    773.51/1,700.79 = 1,700.79/x
  3. Step 3: Cross multiply
    773.51x = 1,700.79 × 1,700.79
  4. Step 4: Simplify right side
    773.51x = 2,892,683.44
  5. Step 5: Solve for x
    x = 2,892,683.44/773.51
  6. Step 6: Final answer
    x = 3,739.70

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.