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Finding the Third Proportional to 274,404 and 601,278

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Solution

The third proportional to 274,404 and 601,278 is: 1,317,529.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,404 : 601,278 = 601,278 : x
  2. Step 2: Convert to fraction form
    274,404/601,278 = 601,278/x
  3. Step 3: Cross multiply
    274,404x = 601,278 × 601,278
  4. Step 4: Simplify right side
    274,404x = 361,535,233,284
  5. Step 5: Solve for x
    x = 361,535,233,284/274,404
  6. Step 6: Final answer
    x = 1,317,529.02

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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.