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Finding the Third Proportional to 319,077 and 494,001

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Solution

The third proportional to 319,077 and 494,001 is: 764,821.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,077 : 494,001 = 494,001 : x
  2. Step 2: Convert to fraction form
    319,077/494,001 = 494,001/x
  3. Step 3: Cross multiply
    319,077x = 494,001 × 494,001
  4. Step 4: Simplify right side
    319,077x = 244,036,988,001
  5. Step 5: Solve for x
    x = 244,036,988,001/319,077
  6. Step 6: Final answer
    x = 764,821.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.