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Finding the Third Proportional to 342,846 and 513,936

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Solution

The third proportional to 342,846 and 513,936 is: 770,404.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,846 : 513,936 = 513,936 : x
  2. Step 2: Convert to fraction form
    342,846/513,936 = 513,936/x
  3. Step 3: Cross multiply
    342,846x = 513,936 × 513,936
  4. Step 4: Simplify right side
    342,846x = 264,130,212,096
  5. Step 5: Solve for x
    x = 264,130,212,096/342,846
  6. Step 6: Final answer
    x = 770,404.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.