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Finding the Third Proportional to 284,370.75 and 618,956.44

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Solution

The third proportional to 284,370.75 and 618,956.44 is: 1,347,209.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,370.75 : 618,956.44 = 618,956.44 : x
  2. Step 2: Convert to fraction form
    284,370.75/618,956.44 = 618,956.44/x
  3. Step 3: Cross multiply
    284,370.75x = 618,956.44 × 618,956.44
  4. Step 4: Simplify right side
    284,370.75x = 383,107,071,522.69
  5. Step 5: Solve for x
    x = 383,107,071,522.69/284,370.75
  6. Step 6: Final answer
    x = 1,347,209.84

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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.