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Finding the Third Proportional to 227,900 and 488,912.50

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Solution

The third proportional to 227,900 and 488,912.50 is: 1,048,861.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,900 : 488,912.50 = 488,912.50 : x
  2. Step 2: Convert to fraction form
    227,900/488,912.50 = 488,912.50/x
  3. Step 3: Cross multiply
    227,900x = 488,912.50 × 488,912.50
  4. Step 4: Simplify right side
    227,900x = 239,035,432,656.25
  5. Step 5: Solve for x
    x = 239,035,432,656.25/227,900
  6. Step 6: Final answer
    x = 1,048,861.05

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.