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Finding the Third Proportional to 408,077 and 888,432

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Solution

The third proportional to 408,077 and 888,432 is: 1,934,221.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,077 : 888,432 = 888,432 : x
  2. Step 2: Convert to fraction form
    408,077/888,432 = 888,432/x
  3. Step 3: Cross multiply
    408,077x = 888,432 × 888,432
  4. Step 4: Simplify right side
    408,077x = 789,311,418,624
  5. Step 5: Solve for x
    x = 789,311,418,624/408,077
  6. Step 6: Final answer
    x = 1,934,221.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.