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Finding the Third Proportional to 334,227 and 695,994

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Solution

The third proportional to 334,227 and 695,994 is: 1,449,337.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,227 : 695,994 = 695,994 : x
  2. Step 2: Convert to fraction form
    334,227/695,994 = 695,994/x
  3. Step 3: Cross multiply
    334,227x = 695,994 × 695,994
  4. Step 4: Simplify right side
    334,227x = 484,407,648,036
  5. Step 5: Solve for x
    x = 484,407,648,036/334,227
  6. Step 6: Final answer
    x = 1,449,337.27

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.