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Finding the Third Proportional to 319,372 and 501,001

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Solution

The third proportional to 319,372 and 501,001 is: 785,923.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,372 : 501,001 = 501,001 : x
  2. Step 2: Convert to fraction form
    319,372/501,001 = 501,001/x
  3. Step 3: Cross multiply
    319,372x = 501,001 × 501,001
  4. Step 4: Simplify right side
    319,372x = 251,002,002,001
  5. Step 5: Solve for x
    x = 251,002,002,001/319,372
  6. Step 6: Final answer
    x = 785,923.63

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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.