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Finding the Third Proportional to 383,121 and 580,014

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Solution

The third proportional to 383,121 and 580,014 is: 878,093.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,121 : 580,014 = 580,014 : x
  2. Step 2: Convert to fraction form
    383,121/580,014 = 580,014/x
  3. Step 3: Cross multiply
    383,121x = 580,014 × 580,014
  4. Step 4: Simplify right side
    383,121x = 336,416,240,196
  5. Step 5: Solve for x
    x = 336,416,240,196/383,121
  6. Step 6: Final answer
    x = 878,093.97

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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.