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Finding the Third Proportional to 317,941 and 691,104

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Solution

The third proportional to 317,941 and 691,104 is: 1,502,243.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,941 : 691,104 = 691,104 : x
  2. Step 2: Convert to fraction form
    317,941/691,104 = 691,104/x
  3. Step 3: Cross multiply
    317,941x = 691,104 × 691,104
  4. Step 4: Simplify right side
    317,941x = 477,624,738,816
  5. Step 5: Solve for x
    x = 477,624,738,816/317,941
  6. Step 6: Final answer
    x = 1,502,243.31

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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.