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Finding the Third Proportional to 334,217.25 and 695,972.25

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Solution

The third proportional to 334,217.25 and 695,972.25 is: 1,449,288.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,217.25 : 695,972.25 = 695,972.25 : x
  2. Step 2: Convert to fraction form
    334,217.25/695,972.25 = 695,972.25/x
  3. Step 3: Cross multiply
    334,217.25x = 695,972.25 × 695,972.25
  4. Step 4: Simplify right side
    334,217.25x = 484,377,372,770.06
  5. Step 5: Solve for x
    x = 484,377,372,770.06/334,217.25
  6. Step 6: Final answer
    x = 1,449,288.97

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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.