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Finding the Third Proportional to 383,627.50 and 580,771.50

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Solution

The third proportional to 383,627.50 and 580,771.50 is: 879,226.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,627.50 : 580,771.50 = 580,771.50 : x
  2. Step 2: Convert to fraction form
    383,627.50/580,771.50 = 580,771.50/x
  3. Step 3: Cross multiply
    383,627.50x = 580,771.50 × 580,771.50
  4. Step 4: Simplify right side
    383,627.50x = 337,295,535,212.25
  5. Step 5: Solve for x
    x = 337,295,535,212.25/383,627.50
  6. Step 6: Final answer
    x = 879,226.69

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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.