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Finding the Third Proportional to 285,100.50 and 617,255.25

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Solution

The third proportional to 285,100.50 and 617,255.25 is: 1,336,385.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,100.50 : 617,255.25 = 617,255.25 : x
  2. Step 2: Convert to fraction form
    285,100.50/617,255.25 = 617,255.25/x
  3. Step 3: Cross multiply
    285,100.50x = 617,255.25 × 617,255.25
  4. Step 4: Simplify right side
    285,100.50x = 381,004,043,652.56
  5. Step 5: Solve for x
    x = 381,004,043,652.56/285,100.50
  6. Step 6: Final answer
    x = 1,336,385.04

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.