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Finding the Third Proportional to 382,274.44 and 892,809.84

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Solution

The third proportional to 382,274.44 and 892,809.84 is: 2,085,175.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,274.44 : 892,809.84 = 892,809.84 : x
  2. Step 2: Convert to fraction form
    382,274.44/892,809.84 = 892,809.84/x
  3. Step 3: Cross multiply
    382,274.44x = 892,809.84 × 892,809.84
  4. Step 4: Simplify right side
    382,274.44x = 797,109,417,096.90
  5. Step 5: Solve for x
    x = 797,109,417,096.90/382,274.44
  6. Step 6: Final answer
    x = 2,085,175.83

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.