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Finding the Third Proportional to 383,644 and 580,794

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Solution

The third proportional to 383,644 and 580,794 is: 879,256.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,644 : 580,794 = 580,794 : x
  2. Step 2: Convert to fraction form
    383,644/580,794 = 580,794/x
  3. Step 3: Cross multiply
    383,644x = 580,794 × 580,794
  4. Step 4: Simplify right side
    383,644x = 337,321,670,436
  5. Step 5: Solve for x
    x = 337,321,670,436/383,644
  6. Step 6: Final answer
    x = 879,256.99

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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.