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Finding the Third Proportional to 353,958 and 770,116

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Solution

The third proportional to 353,958 and 770,116 is: 1,675,562.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,958 : 770,116 = 770,116 : x
  2. Step 2: Convert to fraction form
    353,958/770,116 = 770,116/x
  3. Step 3: Cross multiply
    353,958x = 770,116 × 770,116
  4. Step 4: Simplify right side
    353,958x = 593,078,653,456
  5. Step 5: Solve for x
    x = 593,078,653,456/353,958
  6. Step 6: Final answer
    x = 1,675,562.22

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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.