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Finding the Third Proportional to 396,501 and 565,227

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Solution

The third proportional to 396,501 and 565,227 is: 805,752.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,501 : 565,227 = 565,227 : x
  2. Step 2: Convert to fraction form
    396,501/565,227 = 565,227/x
  3. Step 3: Cross multiply
    396,501x = 565,227 × 565,227
  4. Step 4: Simplify right side
    396,501x = 319,481,561,529
  5. Step 5: Solve for x
    x = 319,481,561,529/396,501
  6. Step 6: Final answer
    x = 805,752.22

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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.