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Finding the Third Proportional to 804.19 and 1,630.69

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Solution

The third proportional to 804.19 and 1,630.69 is: 3,306.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.19 : 1,630.69 = 1,630.69 : x
  2. Step 2: Convert to fraction form
    804.19/1,630.69 = 1,630.69/x
  3. Step 3: Cross multiply
    804.19x = 1,630.69 × 1,630.69
  4. Step 4: Simplify right side
    804.19x = 2,659,141.72
  5. Step 5: Solve for x
    x = 2,659,141.72/804.19
  6. Step 6: Final answer
    x = 3,306.62

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.