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Finding the Third Proportional to 215,608.50 and 460,771.88

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Solution

The third proportional to 215,608.50 and 460,771.88 is: 984,704.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,608.50 : 460,771.88 = 460,771.88 : x
  2. Step 2: Convert to fraction form
    215,608.50/460,771.88 = 460,771.88/x
  3. Step 3: Cross multiply
    215,608.50x = 460,771.88 × 460,771.88
  4. Step 4: Simplify right side
    215,608.50x = 212,310,720,791.02
  5. Step 5: Solve for x
    x = 212,310,720,791.02/215,608.50
  6. Step 6: Final answer
    x = 984,704.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.