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Finding the Third Proportional to 383,861 and 581,077

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Solution

The third proportional to 383,861 and 581,077 is: 879,616.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,861 : 581,077 = 581,077 : x
  2. Step 2: Convert to fraction form
    383,861/581,077 = 581,077/x
  3. Step 3: Cross multiply
    383,861x = 581,077 × 581,077
  4. Step 4: Simplify right side
    383,861x = 337,650,479,929
  5. Step 5: Solve for x
    x = 337,650,479,929/383,861
  6. Step 6: Final answer
    x = 879,616.53

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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.