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Finding the Third Proportional to 394,157 and 601,077

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Solution

The third proportional to 394,157 and 601,077 is: 916,623.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,157 : 601,077 = 601,077 : x
  2. Step 2: Convert to fraction form
    394,157/601,077 = 601,077/x
  3. Step 3: Cross multiply
    394,157x = 601,077 × 601,077
  4. Step 4: Simplify right side
    394,157x = 361,293,559,929
  5. Step 5: Solve for x
    x = 361,293,559,929/394,157
  6. Step 6: Final answer
    x = 916,623.48

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.