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Finding the Third Proportional to 383,757.75 and 575,682.19

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Solution

The third proportional to 383,757.75 and 575,682.19 is: 863,591.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,757.75 : 575,682.19 = 575,682.19 : x
  2. Step 2: Convert to fraction form
    383,757.75/575,682.19 = 575,682.19/x
  3. Step 3: Cross multiply
    383,757.75x = 575,682.19 × 575,682.19
  4. Step 4: Simplify right side
    383,757.75x = 331,409,981,004.79
  5. Step 5: Solve for x
    x = 331,409,981,004.79/383,757.75
  6. Step 6: Final answer
    x = 863,591.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.