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Finding the Third Proportional to 379,896.56 and 601,556.44

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Solution

The third proportional to 379,896.56 and 601,556.44 is: 952,549.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,896.56 : 601,556.44 = 601,556.44 : x
  2. Step 2: Convert to fraction form
    379,896.56/601,556.44 = 601,556.44/x
  3. Step 3: Cross multiply
    379,896.56x = 601,556.44 × 601,556.44
  4. Step 4: Simplify right side
    379,896.56x = 361,870,147,497.69
  5. Step 5: Solve for x
    x = 361,870,147,497.69/379,896.56
  6. Step 6: Final answer
    x = 952,549.15

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.