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Finding the Third Proportional to 353,941 and 770,089

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Solution

The third proportional to 353,941 and 770,089 is: 1,675,525.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,941 : 770,089 = 770,089 : x
  2. Step 2: Convert to fraction form
    353,941/770,089 = 770,089/x
  3. Step 3: Cross multiply
    353,941x = 770,089 × 770,089
  4. Step 4: Simplify right side
    353,941x = 593,037,067,921
  5. Step 5: Solve for x
    x = 593,037,067,921/353,941
  6. Step 6: Final answer
    x = 1,675,525.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.