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Finding the Third Proportional to 354,950 and 770,104

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Solution

The third proportional to 354,950 and 770,104 is: 1,670,827.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,950 : 770,104 = 770,104 : x
  2. Step 2: Convert to fraction form
    354,950/770,104 = 770,104/x
  3. Step 3: Cross multiply
    354,950x = 770,104 × 770,104
  4. Step 4: Simplify right side
    354,950x = 593,060,170,816
  5. Step 5: Solve for x
    x = 593,060,170,816/354,950
  6. Step 6: Final answer
    x = 1,670,827.36

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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.