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Finding the Third Proportional to 383,567.91 and 575,351.86

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Solution

The third proportional to 383,567.91 and 575,351.86 is: 863,027.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,567.91 : 575,351.86 = 575,351.86 : x
  2. Step 2: Convert to fraction form
    383,567.91/575,351.86 = 575,351.86/x
  3. Step 3: Cross multiply
    383,567.91x = 575,351.86 × 575,351.86
  4. Step 4: Simplify right side
    383,567.91x = 331,029,762,086.27
  5. Step 5: Solve for x
    x = 331,029,762,086.27/383,567.91
  6. Step 6: Final answer
    x = 863,027.79

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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.