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Finding the Third Proportional to 794.06 and 1,731.56

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Solution

The third proportional to 794.06 and 1,731.56 is: 3,775.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.06 : 1,731.56 = 1,731.56 : x
  2. Step 2: Convert to fraction form
    794.06/1,731.56 = 1,731.56/x
  3. Step 3: Cross multiply
    794.06x = 1,731.56 × 1,731.56
  4. Step 4: Simplify right side
    794.06x = 2,998,308.69
  5. Step 5: Solve for x
    x = 2,998,308.69/794.06
  6. Step 6: Final answer
    x = 3,775.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.