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Finding the Third Proportional to 379,930.50 and 822,908

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Solution

The third proportional to 379,930.50 and 822,908 is: 1,782,372.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,930.50 : 822,908 = 822,908 : x
  2. Step 2: Convert to fraction form
    379,930.50/822,908 = 822,908/x
  3. Step 3: Cross multiply
    379,930.50x = 822,908 × 822,908
  4. Step 4: Simplify right side
    379,930.50x = 677,177,576,464
  5. Step 5: Solve for x
    x = 677,177,576,464/379,930.50
  6. Step 6: Final answer
    x = 1,782,372.24

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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.