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Finding the Third Proportional to 383,219 and 580,130

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Solution

The third proportional to 383,219 and 580,130 is: 878,220.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,219 : 580,130 = 580,130 : x
  2. Step 2: Convert to fraction form
    383,219/580,130 = 580,130/x
  3. Step 3: Cross multiply
    383,219x = 580,130 × 580,130
  4. Step 4: Simplify right side
    383,219x = 336,550,816,900
  5. Step 5: Solve for x
    x = 336,550,816,900/383,219
  6. Step 6: Final answer
    x = 878,220.59

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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.