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Finding the Third Proportional to 334,215 and 695,969

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Solution

The third proportional to 334,215 and 695,969 is: 1,449,285.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,215 : 695,969 = 695,969 : x
  2. Step 2: Convert to fraction form
    334,215/695,969 = 695,969/x
  3. Step 3: Cross multiply
    334,215x = 695,969 × 695,969
  4. Step 4: Simplify right side
    334,215x = 484,372,848,961
  5. Step 5: Solve for x
    x = 484,372,848,961/334,215
  6. Step 6: Final answer
    x = 1,449,285.19

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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.