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Finding the Third Proportional to 383,757.75 and 575,636.63

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Solution

The third proportional to 383,757.75 and 575,636.63 is: 863,454.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,757.75 : 575,636.63 = 575,636.63 : x
  2. Step 2: Convert to fraction form
    383,757.75/575,636.63 = 575,636.63/x
  3. Step 3: Cross multiply
    383,757.75x = 575,636.63 × 575,636.63
  4. Step 4: Simplify right side
    383,757.75x = 331,357,524,041.39
  5. Step 5: Solve for x
    x = 331,357,524,041.39/383,757.75
  6. Step 6: Final answer
    x = 863,454.94

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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.