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Finding the Third Proportional to 301,077 and 454,167

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Solution

The third proportional to 301,077 and 454,167 is: 685,099.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,077 : 454,167 = 454,167 : x
  2. Step 2: Convert to fraction form
    301,077/454,167 = 454,167/x
  3. Step 3: Cross multiply
    301,077x = 454,167 × 454,167
  4. Step 4: Simplify right side
    301,077x = 206,267,663,889
  5. Step 5: Solve for x
    x = 206,267,663,889/301,077
  6. Step 6: Final answer
    x = 685,099.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.