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Finding the Third Proportional to 274,000 and 600,380

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Solution

The third proportional to 274,000 and 600,380 is: 1,315,533.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,000 : 600,380 = 600,380 : x
  2. Step 2: Convert to fraction form
    274,000/600,380 = 600,380/x
  3. Step 3: Cross multiply
    274,000x = 600,380 × 600,380
  4. Step 4: Simplify right side
    274,000x = 360,456,144,400
  5. Step 5: Solve for x
    x = 360,456,144,400/274,000
  6. Step 6: Final answer
    x = 1,315,533.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.