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Finding the Third Proportional to 379,571.50 and 573,278

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Solution

The third proportional to 379,571.50 and 573,278 is: 865,838.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,571.50 : 573,278 = 573,278 : x
  2. Step 2: Convert to fraction form
    379,571.50/573,278 = 573,278/x
  3. Step 3: Cross multiply
    379,571.50x = 573,278 × 573,278
  4. Step 4: Simplify right side
    379,571.50x = 328,647,665,284
  5. Step 5: Solve for x
    x = 328,647,665,284/379,571.50
  6. Step 6: Final answer
    x = 865,838.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.