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Finding the Third Proportional to 355,601 and 770,494

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Solution

The third proportional to 355,601 and 770,494 is: 1,669,458.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,601 : 770,494 = 770,494 : x
  2. Step 2: Convert to fraction form
    355,601/770,494 = 770,494/x
  3. Step 3: Cross multiply
    355,601x = 770,494 × 770,494
  4. Step 4: Simplify right side
    355,601x = 593,661,004,036
  5. Step 5: Solve for x
    x = 593,661,004,036/355,601
  6. Step 6: Final answer
    x = 1,669,458.20

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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.