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Finding the Third Proportional to 362,934 and 833,031

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Solution

The third proportional to 362,934 and 833,031 is: 1,912,029.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,934 : 833,031 = 833,031 : x
  2. Step 2: Convert to fraction form
    362,934/833,031 = 833,031/x
  3. Step 3: Cross multiply
    362,934x = 833,031 × 833,031
  4. Step 4: Simplify right side
    362,934x = 693,940,646,961
  5. Step 5: Solve for x
    x = 693,940,646,961/362,934
  6. Step 6: Final answer
    x = 1,912,029.86

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.