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Finding the Third Proportional to 849.66 and 1,267.73

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Solution

The third proportional to 849.66 and 1,267.73 is: 1,891.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.66 : 1,267.73 = 1,267.73 : x
  2. Step 2: Convert to fraction form
    849.66/1,267.73 = 1,267.73/x
  3. Step 3: Cross multiply
    849.66x = 1,267.73 × 1,267.73
  4. Step 4: Simplify right side
    849.66x = 1,607,150.45
  5. Step 5: Solve for x
    x = 1,607,150.45/849.66
  6. Step 6: Final answer
    x = 1,891.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.