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Finding the Third Proportional to 274,224 and 600,912

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Solution

The third proportional to 274,224 and 600,912 is: 1,316,789.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,224 : 600,912 = 600,912 : x
  2. Step 2: Convert to fraction form
    274,224/600,912 = 600,912/x
  3. Step 3: Cross multiply
    274,224x = 600,912 × 600,912
  4. Step 4: Simplify right side
    274,224x = 361,095,231,744
  5. Step 5: Solve for x
    x = 361,095,231,744/274,224
  6. Step 6: Final answer
    x = 1,316,789.31

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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.