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Finding the Third Proportional to 289,213.88 and 622,834.88

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Solution

The third proportional to 289,213.88 and 622,834.88 is: 1,341,302.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,213.88 : 622,834.88 = 622,834.88 : x
  2. Step 2: Convert to fraction form
    289,213.88/622,834.88 = 622,834.88/x
  3. Step 3: Cross multiply
    289,213.88x = 622,834.88 × 622,834.88
  4. Step 4: Simplify right side
    289,213.88x = 387,923,281,516.27
  5. Step 5: Solve for x
    x = 387,923,281,516.27/289,213.88
  6. Step 6: Final answer
    x = 1,341,302.46

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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.