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Finding the Third Proportional to 284,865.75 and 613,608.75

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Solution

The third proportional to 284,865.75 and 613,608.75 is: 1,321,730.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,865.75 : 613,608.75 = 613,608.75 : x
  2. Step 2: Convert to fraction form
    284,865.75/613,608.75 = 613,608.75/x
  3. Step 3: Cross multiply
    284,865.75x = 613,608.75 × 613,608.75
  4. Step 4: Simplify right side
    284,865.75x = 376,515,698,076.56
  5. Step 5: Solve for x
    x = 376,515,698,076.56/284,865.75
  6. Step 6: Final answer
    x = 1,321,730.32

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.