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Finding the Third Proportional to 319,523 and 501,227

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Solution

The third proportional to 319,523 and 501,227 is: 786,261.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,523 : 501,227 = 501,227 : x
  2. Step 2: Convert to fraction form
    319,523/501,227 = 501,227/x
  3. Step 3: Cross multiply
    319,523x = 501,227 × 501,227
  4. Step 4: Simplify right side
    319,523x = 251,228,505,529
  5. Step 5: Solve for x
    x = 251,228,505,529/319,523
  6. Step 6: Final answer
    x = 786,261.10

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.