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Finding the Third Proportional to 334,231 and 696,002

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Solution

The third proportional to 334,231 and 696,002 is: 1,449,353.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,231 : 696,002 = 696,002 : x
  2. Step 2: Convert to fraction form
    334,231/696,002 = 696,002/x
  3. Step 3: Cross multiply
    334,231x = 696,002 × 696,002
  4. Step 4: Simplify right side
    334,231x = 484,418,784,004
  5. Step 5: Solve for x
    x = 484,418,784,004/334,231
  6. Step 6: Final answer
    x = 1,449,353.24

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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.