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Finding the Third Proportional to 394,153 and 601,071

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Solution

The third proportional to 394,153 and 601,071 is: 916,614.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,153 : 601,071 = 601,071 : x
  2. Step 2: Convert to fraction form
    394,153/601,071 = 601,071/x
  3. Step 3: Cross multiply
    394,153x = 601,071 × 601,071
  4. Step 4: Simplify right side
    394,153x = 361,286,347,041
  5. Step 5: Solve for x
    x = 361,286,347,041/394,153
  6. Step 6: Final answer
    x = 916,614.48

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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.