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Finding the Third Proportional to 383,181 and 580,078

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Solution

The third proportional to 383,181 and 580,078 is: 878,150.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,181 : 580,078 = 580,078 : x
  2. Step 2: Convert to fraction form
    383,181/580,078 = 580,078/x
  3. Step 3: Cross multiply
    383,181x = 580,078 × 580,078
  4. Step 4: Simplify right side
    383,181x = 336,490,486,084
  5. Step 5: Solve for x
    x = 336,490,486,084/383,181
  6. Step 6: Final answer
    x = 878,150.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.