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Finding the Third Proportional to 334,674 and 687,163

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Solution

The third proportional to 334,674 and 687,163 is: 1,410,904.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,674 : 687,163 = 687,163 : x
  2. Step 2: Convert to fraction form
    334,674/687,163 = 687,163/x
  3. Step 3: Cross multiply
    334,674x = 687,163 × 687,163
  4. Step 4: Simplify right side
    334,674x = 472,192,988,569
  5. Step 5: Solve for x
    x = 472,192,988,569/334,674
  6. Step 6: Final answer
    x = 1,410,904.31

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.