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Finding the Third Proportional to 794.94 and 1,707.44

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Solution

The third proportional to 794.94 and 1,707.44 is: 3,667.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.94 : 1,707.44 = 1,707.44 : x
  2. Step 2: Convert to fraction form
    794.94/1,707.44 = 1,707.44/x
  3. Step 3: Cross multiply
    794.94x = 1,707.44 × 1,707.44
  4. Step 4: Simplify right side
    794.94x = 2,915,342.82
  5. Step 5: Solve for x
    x = 2,915,342.82/794.94
  6. Step 6: Final answer
    x = 3,667.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.