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Finding the Third Proportional to 274,450 and 600,738

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Solution

The third proportional to 274,450 and 600,738 is: 1,314,943.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,450 : 600,738 = 600,738 : x
  2. Step 2: Convert to fraction form
    274,450/600,738 = 600,738/x
  3. Step 3: Cross multiply
    274,450x = 600,738 × 600,738
  4. Step 4: Simplify right side
    274,450x = 360,886,144,644
  5. Step 5: Solve for x
    x = 360,886,144,644/274,450
  6. Step 6: Final answer
    x = 1,314,943.14

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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.