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Finding the Third Proportional to 284,067 and 624,175.88

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Solution

The third proportional to 284,067 and 624,175.88 is: 1,371,491.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,067 : 624,175.88 = 624,175.88 : x
  2. Step 2: Convert to fraction form
    284,067/624,175.88 = 624,175.88/x
  3. Step 3: Cross multiply
    284,067x = 624,175.88 × 624,175.88
  4. Step 4: Simplify right side
    284,067x = 389,595,522,932.02
  5. Step 5: Solve for x
    x = 389,595,522,932.02/284,067
  6. Step 6: Final answer
    x = 1,371,491.67

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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.