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Finding the Third Proportional to 333,722 and 691,103

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Solution

The third proportional to 333,722 and 691,103 is: 1,431,201.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,722 : 691,103 = 691,103 : x
  2. Step 2: Convert to fraction form
    333,722/691,103 = 691,103/x
  3. Step 3: Cross multiply
    333,722x = 691,103 × 691,103
  4. Step 4: Simplify right side
    333,722x = 477,623,356,609
  5. Step 5: Solve for x
    x = 477,623,356,609/333,722
  6. Step 6: Final answer
    x = 1,431,201.29

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.