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Finding the Third Proportional to 274,212 and 601,884

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Solution

The third proportional to 274,212 and 601,884 is: 1,321,110.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,212 : 601,884 = 601,884 : x
  2. Step 2: Convert to fraction form
    274,212/601,884 = 601,884/x
  3. Step 3: Cross multiply
    274,212x = 601,884 × 601,884
  4. Step 4: Simplify right side
    274,212x = 362,264,349,456
  5. Step 5: Solve for x
    x = 362,264,349,456/274,212
  6. Step 6: Final answer
    x = 1,321,110.49

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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.