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Finding the Third Proportional to 809.58 and 1,801.41

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Solution

The third proportional to 809.58 and 1,801.41 is: 4,008.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.58 : 1,801.41 = 1,801.41 : x
  2. Step 2: Convert to fraction form
    809.58/1,801.41 = 1,801.41/x
  3. Step 3: Cross multiply
    809.58x = 1,801.41 × 1,801.41
  4. Step 4: Simplify right side
    809.58x = 3,245,064.48
  5. Step 5: Solve for x
    x = 3,245,064.48/809.58
  6. Step 6: Final answer
    x = 4,008.34

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.