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Finding the Third Proportional to 422,608 and 575,592

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Solution

The third proportional to 422,608 and 575,592 is: 783,956.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,608 : 575,592 = 575,592 : x
  2. Step 2: Convert to fraction form
    422,608/575,592 = 575,592/x
  3. Step 3: Cross multiply
    422,608x = 575,592 × 575,592
  4. Step 4: Simplify right side
    422,608x = 331,306,150,464
  5. Step 5: Solve for x
    x = 331,306,150,464/422,608
  6. Step 6: Final answer
    x = 783,956.17

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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.