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Finding the Third Proportional to 274,407 and 601,284

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Solution

The third proportional to 274,407 and 601,284 is: 1,317,540.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,407 : 601,284 = 601,284 : x
  2. Step 2: Convert to fraction form
    274,407/601,284 = 601,284/x
  3. Step 3: Cross multiply
    274,407x = 601,284 × 601,284
  4. Step 4: Simplify right side
    274,407x = 361,542,448,656
  5. Step 5: Solve for x
    x = 361,542,448,656/274,407
  6. Step 6: Final answer
    x = 1,317,540.91

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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.