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Finding the Third Proportional to 362,936 and 833,036

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Solution

The third proportional to 362,936 and 833,036 is: 1,912,042.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,936 : 833,036 = 833,036 : x
  2. Step 2: Convert to fraction form
    362,936/833,036 = 833,036/x
  3. Step 3: Cross multiply
    362,936x = 833,036 × 833,036
  4. Step 4: Simplify right side
    362,936x = 693,948,977,296
  5. Step 5: Solve for x
    x = 693,948,977,296/362,936
  6. Step 6: Final answer
    x = 1,912,042.28

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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.