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Finding the Third Proportional to 284,399.50 and 622,367

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Solution

The third proportional to 284,399.50 and 622,367 is: 1,361,959.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,399.50 : 622,367 = 622,367 : x
  2. Step 2: Convert to fraction form
    284,399.50/622,367 = 622,367/x
  3. Step 3: Cross multiply
    284,399.50x = 622,367 × 622,367
  4. Step 4: Simplify right side
    284,399.50x = 387,340,682,689
  5. Step 5: Solve for x
    x = 387,340,682,689/284,399.50
  6. Step 6: Final answer
    x = 1,361,959.79

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.