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Finding the Third Proportional to 348,934 and 755,834

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Solution

The third proportional to 348,934 and 755,834 is: 1,637,229.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,934 : 755,834 = 755,834 : x
  2. Step 2: Convert to fraction form
    348,934/755,834 = 755,834/x
  3. Step 3: Cross multiply
    348,934x = 755,834 × 755,834
  4. Step 4: Simplify right side
    348,934x = 571,285,035,556
  5. Step 5: Solve for x
    x = 571,285,035,556/348,934
  6. Step 6: Final answer
    x = 1,637,229.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.