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Finding the Third Proportional to 383,624 and 580,768

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Solution

The third proportional to 383,624 and 580,768 is: 879,224.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,624 : 580,768 = 580,768 : x
  2. Step 2: Convert to fraction form
    383,624/580,768 = 580,768/x
  3. Step 3: Cross multiply
    383,624x = 580,768 × 580,768
  4. Step 4: Simplify right side
    383,624x = 337,291,469,824
  5. Step 5: Solve for x
    x = 337,291,469,824/383,624
  6. Step 6: Final answer
    x = 879,224.11

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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.