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Finding the Third Proportional to 745.69 and 1,733.34

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Solution

The third proportional to 745.69 and 1,733.34 is: 4,029.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.69 : 1,733.34 = 1,733.34 : x
  2. Step 2: Convert to fraction form
    745.69/1,733.34 = 1,733.34/x
  3. Step 3: Cross multiply
    745.69x = 1,733.34 × 1,733.34
  4. Step 4: Simplify right side
    745.69x = 3,004,480.56
  5. Step 5: Solve for x
    x = 3,004,480.56/745.69
  6. Step 6: Final answer
    x = 4,029.14

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.