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Finding the Third Proportional to 367,096 and 812,802

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Solution

The third proportional to 367,096 and 812,802 is: 1,799,657.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,096 : 812,802 = 812,802 : x
  2. Step 2: Convert to fraction form
    367,096/812,802 = 812,802/x
  3. Step 3: Cross multiply
    367,096x = 812,802 × 812,802
  4. Step 4: Simplify right side
    367,096x = 660,647,091,204
  5. Step 5: Solve for x
    x = 660,647,091,204/367,096
  6. Step 6: Final answer
    x = 1,799,657.56

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.