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Finding the Third Proportional to 285,803.44 and 629,916.75

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Solution

The third proportional to 285,803.44 and 629,916.75 is: 1,388,349.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,803.44 : 629,916.75 = 629,916.75 : x
  2. Step 2: Convert to fraction form
    285,803.44/629,916.75 = 629,916.75/x
  3. Step 3: Cross multiply
    285,803.44x = 629,916.75 × 629,916.75
  4. Step 4: Simplify right side
    285,803.44x = 396,795,111,930.56
  5. Step 5: Solve for x
    x = 396,795,111,930.56/285,803.44
  6. Step 6: Final answer
    x = 1,388,349.68

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