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Finding the Third Proportional to 383,617 and 580,756

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Solution

The third proportional to 383,617 and 580,756 is: 879,203.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,617 : 580,756 = 580,756 : x
  2. Step 2: Convert to fraction form
    383,617/580,756 = 580,756/x
  3. Step 3: Cross multiply
    383,617x = 580,756 × 580,756
  4. Step 4: Simplify right side
    383,617x = 337,277,531,536
  5. Step 5: Solve for x
    x = 337,277,531,536/383,617
  6. Step 6: Final answer
    x = 879,203.82

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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.