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Finding the Third Proportional to 905.34 and 1,960.59

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Solution

The third proportional to 905.34 and 1,960.59 is: 4,245.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.34 : 1,960.59 = 1,960.59 : x
  2. Step 2: Convert to fraction form
    905.34/1,960.59 = 1,960.59/x
  3. Step 3: Cross multiply
    905.34x = 1,960.59 × 1,960.59
  4. Step 4: Simplify right side
    905.34x = 3,843,927.85
  5. Step 5: Solve for x
    x = 3,843,927.85/905.34
  6. Step 6: Final answer
    x = 4,245.82

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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.