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Finding the Third Proportional to 379,932.75 and 601,611.75

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Solution

The third proportional to 379,932.75 and 601,611.75 is: 952,633.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,932.75 : 601,611.75 = 601,611.75 : x
  2. Step 2: Convert to fraction form
    379,932.75/601,611.75 = 601,611.75/x
  3. Step 3: Cross multiply
    379,932.75x = 601,611.75 × 601,611.75
  4. Step 4: Simplify right side
    379,932.75x = 361,936,697,738.06
  5. Step 5: Solve for x
    x = 361,936,697,738.06/379,932.75
  6. Step 6: Final answer
    x = 952,633.59

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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.