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Finding the Third Proportional to 274,833 and 591,219

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Solution

The third proportional to 274,833 and 591,219 is: 1,271,826.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,833 : 591,219 = 591,219 : x
  2. Step 2: Convert to fraction form
    274,833/591,219 = 591,219/x
  3. Step 3: Cross multiply
    274,833x = 591,219 × 591,219
  4. Step 4: Simplify right side
    274,833x = 349,539,905,961
  5. Step 5: Solve for x
    x = 349,539,905,961/274,833
  6. Step 6: Final answer
    x = 1,271,826.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.