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Finding the Third Proportional to 396,021.75 and 567,501.75

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Solution

The third proportional to 396,021.75 and 567,501.75 is: 813,233.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,021.75 : 567,501.75 = 567,501.75 : x
  2. Step 2: Convert to fraction form
    396,021.75/567,501.75 = 567,501.75/x
  3. Step 3: Cross multiply
    396,021.75x = 567,501.75 × 567,501.75
  4. Step 4: Simplify right side
    396,021.75x = 322,058,236,253.06
  5. Step 5: Solve for x
    x = 322,058,236,253.06/396,021.75
  6. Step 6: Final answer
    x = 813,233.71

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.