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Finding the Third Proportional to 550.69 and 795.94

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Solution

The third proportional to 550.69 and 795.94 is: 1,150.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.69 : 795.94 = 795.94 : x
  2. Step 2: Convert to fraction form
    550.69/795.94 = 795.94/x
  3. Step 3: Cross multiply
    550.69x = 795.94 × 795.94
  4. Step 4: Simplify right side
    550.69x = 633,516.50
  5. Step 5: Solve for x
    x = 633,516.50/550.69
  6. Step 6: Final answer
    x = 1,150.41

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.