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Finding the Third Proportional to 773.38 and 1,719.31

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Solution

The third proportional to 773.38 and 1,719.31 is: 3,822.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.38 : 1,719.31 = 1,719.31 : x
  2. Step 2: Convert to fraction form
    773.38/1,719.31 = 1,719.31/x
  3. Step 3: Cross multiply
    773.38x = 1,719.31 × 1,719.31
  4. Step 4: Simplify right side
    773.38x = 2,956,035.47
  5. Step 5: Solve for x
    x = 2,956,035.47/773.38
  6. Step 6: Final answer
    x = 3,822.25

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.