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Finding the Third Proportional to 382,299.75 and 892,873.13

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Solution

The third proportional to 382,299.75 and 892,873.13 is: 2,085,333.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,299.75 : 892,873.13 = 892,873.13 : x
  2. Step 2: Convert to fraction form
    382,299.75/892,873.13 = 892,873.13/x
  3. Step 3: Cross multiply
    382,299.75x = 892,873.13 × 892,873.13
  4. Step 4: Simplify right side
    382,299.75x = 797,222,417,347.27
  5. Step 5: Solve for x
    x = 797,222,417,347.27/382,299.75
  6. Step 6: Final answer
    x = 2,085,333.35

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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.