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Finding the Third Proportional to 284,433.75 and 614,418.75

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Solution

The third proportional to 284,433.75 and 614,418.75 is: 1,327,234.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,433.75 : 614,418.75 = 614,418.75 : x
  2. Step 2: Convert to fraction form
    284,433.75/614,418.75 = 614,418.75/x
  3. Step 3: Cross multiply
    284,433.75x = 614,418.75 × 614,418.75
  4. Step 4: Simplify right side
    284,433.75x = 377,510,400,351.56
  5. Step 5: Solve for x
    x = 377,510,400,351.56/284,433.75
  6. Step 6: Final answer
    x = 1,327,234.90

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.