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Finding the Third Proportional to 313,834 and 691,010

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Solution

The third proportional to 313,834 and 691,010 is: 1,521,488.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,834 : 691,010 = 691,010 : x
  2. Step 2: Convert to fraction form
    313,834/691,010 = 691,010/x
  3. Step 3: Cross multiply
    313,834x = 691,010 × 691,010
  4. Step 4: Simplify right side
    313,834x = 477,494,820,100
  5. Step 5: Solve for x
    x = 477,494,820,100/313,834
  6. Step 6: Final answer
    x = 1,521,488.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.