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Finding the Third Proportional to 342,832 and 738,147

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Solution

The third proportional to 342,832 and 738,147 is: 1,589,294.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,832 : 738,147 = 738,147 : x
  2. Step 2: Convert to fraction form
    342,832/738,147 = 738,147/x
  3. Step 3: Cross multiply
    342,832x = 738,147 × 738,147
  4. Step 4: Simplify right side
    342,832x = 544,860,993,609
  5. Step 5: Solve for x
    x = 544,860,993,609/342,832
  6. Step 6: Final answer
    x = 1,589,294.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.