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Finding the Third Proportional to 250,766 and 488,975

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Solution

The third proportional to 250,766 and 488,975 is: 953,464.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,766 : 488,975 = 488,975 : x
  2. Step 2: Convert to fraction form
    250,766/488,975 = 488,975/x
  3. Step 3: Cross multiply
    250,766x = 488,975 × 488,975
  4. Step 4: Simplify right side
    250,766x = 239,096,550,625
  5. Step 5: Solve for x
    x = 239,096,550,625/250,766
  6. Step 6: Final answer
    x = 953,464.79

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.