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Finding the Third Proportional to 849.66 and 1,272.80

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Solution

The third proportional to 849.66 and 1,272.80 is: 1,906.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.66 : 1,272.80 = 1,272.80 : x
  2. Step 2: Convert to fraction form
    849.66/1,272.80 = 1,272.80/x
  3. Step 3: Cross multiply
    849.66x = 1,272.80 × 1,272.80
  4. Step 4: Simplify right side
    849.66x = 1,620,011.89
  5. Step 5: Solve for x
    x = 1,620,011.89/849.66
  6. Step 6: Final answer
    x = 1,906.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.