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Finding the Third Proportional to 289,211.75 and 622,832

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Solution

The third proportional to 289,211.75 and 622,832 is: 1,341,299.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,211.75 : 622,832 = 622,832 : x
  2. Step 2: Convert to fraction form
    289,211.75/622,832 = 622,832/x
  3. Step 3: Cross multiply
    289,211.75x = 622,832 × 622,832
  4. Step 4: Simplify right side
    289,211.75x = 387,919,700,224
  5. Step 5: Solve for x
    x = 387,919,700,224/289,211.75
  6. Step 6: Final answer
    x = 1,341,299.93

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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.