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Finding the Third Proportional to 383,622 and 580,764

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Solution

The third proportional to 383,622 and 580,764 is: 879,216.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,622 : 580,764 = 580,764 : x
  2. Step 2: Convert to fraction form
    383,622/580,764 = 580,764/x
  3. Step 3: Cross multiply
    383,622x = 580,764 × 580,764
  4. Step 4: Simplify right side
    383,622x = 337,286,823,696
  5. Step 5: Solve for x
    x = 337,286,823,696/383,622
  6. Step 6: Final answer
    x = 879,216.58

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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.