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Finding the Third Proportional to 685.27 and 1,485.98

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Solution

The third proportional to 685.27 and 1,485.98 is: 3,222.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.27 : 1,485.98 = 1,485.98 : x
  2. Step 2: Convert to fraction form
    685.27/1,485.98 = 1,485.98/x
  3. Step 3: Cross multiply
    685.27x = 1,485.98 × 1,485.98
  4. Step 4: Simplify right side
    685.27x = 2,208,149.56
  5. Step 5: Solve for x
    x = 2,208,149.56/685.27
  6. Step 6: Final answer
    x = 3,222.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.