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Finding the Third Proportional to 383,177 and 580,073

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Solution

The third proportional to 383,177 and 580,073 is: 878,144.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,177 : 580,073 = 580,073 : x
  2. Step 2: Convert to fraction form
    383,177/580,073 = 580,073/x
  3. Step 3: Cross multiply
    383,177x = 580,073 × 580,073
  4. Step 4: Simplify right side
    383,177x = 336,484,685,329
  5. Step 5: Solve for x
    x = 336,484,685,329/383,177
  6. Step 6: Final answer
    x = 878,144.27

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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.