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Finding the Third Proportional to 274,002 and 600,384

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Solution

The third proportional to 274,002 and 600,384 is: 1,315,541.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,002 : 600,384 = 600,384 : x
  2. Step 2: Convert to fraction form
    274,002/600,384 = 600,384/x
  3. Step 3: Cross multiply
    274,002x = 600,384 × 600,384
  4. Step 4: Simplify right side
    274,002x = 360,460,947,456
  5. Step 5: Solve for x
    x = 360,460,947,456/274,002
  6. Step 6: Final answer
    x = 1,315,541.30

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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.