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Finding the Third Proportional to 334,208 and 695,954

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Solution

The third proportional to 334,208 and 695,954 is: 1,449,253.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,208 : 695,954 = 695,954 : x
  2. Step 2: Convert to fraction form
    334,208/695,954 = 695,954/x
  3. Step 3: Cross multiply
    334,208x = 695,954 × 695,954
  4. Step 4: Simplify right side
    334,208x = 484,351,970,116
  5. Step 5: Solve for x
    x = 484,351,970,116/334,208
  6. Step 6: Final answer
    x = 1,449,253.07

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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.