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Finding the Third Proportional to 819.75 and 1,804.31

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Solution

The third proportional to 819.75 and 1,804.31 is: 3,971.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.75 : 1,804.31 = 1,804.31 : x
  2. Step 2: Convert to fraction form
    819.75/1,804.31 = 1,804.31/x
  3. Step 3: Cross multiply
    819.75x = 1,804.31 × 1,804.31
  4. Step 4: Simplify right side
    819.75x = 3,255,543.60
  5. Step 5: Solve for x
    x = 3,255,543.60/819.75
  6. Step 6: Final answer
    x = 3,971.39

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.