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Finding the Third Proportional to 284,922.96 and 620,446.99

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Solution

The third proportional to 284,922.96 and 620,446.99 is: 1,351,082.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,922.96 : 620,446.99 = 620,446.99 : x
  2. Step 2: Convert to fraction form
    284,922.96/620,446.99 = 620,446.99/x
  3. Step 3: Cross multiply
    284,922.96x = 620,446.99 × 620,446.99
  4. Step 4: Simplify right side
    284,922.96x = 384,954,464,661.41
  5. Step 5: Solve for x
    x = 384,954,464,661.41/284,922.96
  6. Step 6: Final answer
    x = 1,351,082.65

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.