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Finding the Third Proportional to 350,825.25 and 488,787.94

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Solution

The third proportional to 350,825.25 and 488,787.94 is: 681,004.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,825.25 : 488,787.94 = 488,787.94 : x
  2. Step 2: Convert to fraction form
    350,825.25/488,787.94 = 488,787.94/x
  3. Step 3: Cross multiply
    350,825.25x = 488,787.94 × 488,787.94
  4. Step 4: Simplify right side
    350,825.25x = 238,913,647,845.50
  5. Step 5: Solve for x
    x = 238,913,647,845.50/350,825.25
  6. Step 6: Final answer
    x = 681,004.71

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.