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Finding the Third Proportional to 206,593 and 319,001

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Solution

The third proportional to 206,593 and 319,001 is: 492,570.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,593 : 319,001 = 319,001 : x
  2. Step 2: Convert to fraction form
    206,593/319,001 = 319,001/x
  3. Step 3: Cross multiply
    206,593x = 319,001 × 319,001
  4. Step 4: Simplify right side
    206,593x = 101,761,638,001
  5. Step 5: Solve for x
    x = 101,761,638,001/206,593
  6. Step 6: Final answer
    x = 492,570.60

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.