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Finding the Third Proportional to 353,936.50 and 770,081

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Solution

The third proportional to 353,936.50 and 770,081 is: 1,675,511.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,936.50 : 770,081 = 770,081 : x
  2. Step 2: Convert to fraction form
    353,936.50/770,081 = 770,081/x
  3. Step 3: Cross multiply
    353,936.50x = 770,081 × 770,081
  4. Step 4: Simplify right side
    353,936.50x = 593,024,746,561
  5. Step 5: Solve for x
    x = 593,024,746,561/353,936.50
  6. Step 6: Final answer
    x = 1,675,511.70

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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.