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Finding the Third Proportional to 422,606 and 575,589

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Solution

The third proportional to 422,606 and 575,589 is: 783,951.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,606 : 575,589 = 575,589 : x
  2. Step 2: Convert to fraction form
    422,606/575,589 = 575,589/x
  3. Step 3: Cross multiply
    422,606x = 575,589 × 575,589
  4. Step 4: Simplify right side
    422,606x = 331,302,696,921
  5. Step 5: Solve for x
    x = 331,302,696,921/422,606
  6. Step 6: Final answer
    x = 783,951.71

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.