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Finding the Third Proportional to 260,349.75 and 527,942.25

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Solution

The third proportional to 260,349.75 and 527,942.25 is: 1,070,571.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,349.75 : 527,942.25 = 527,942.25 : x
  2. Step 2: Convert to fraction form
    260,349.75/527,942.25 = 527,942.25/x
  3. Step 3: Cross multiply
    260,349.75x = 527,942.25 × 527,942.25
  4. Step 4: Simplify right side
    260,349.75x = 278,723,019,335.06
  5. Step 5: Solve for x
    x = 278,723,019,335.06/260,349.75
  6. Step 6: Final answer
    x = 1,070,571.49

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.