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Finding the Third Proportional to 334,736 and 468,192

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Solution

The third proportional to 334,736 and 468,192 is: 654,855.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,736 : 468,192 = 468,192 : x
  2. Step 2: Convert to fraction form
    334,736/468,192 = 468,192/x
  3. Step 3: Cross multiply
    334,736x = 468,192 × 468,192
  4. Step 4: Simplify right side
    334,736x = 219,203,748,864
  5. Step 5: Solve for x
    x = 219,203,748,864/334,736
  6. Step 6: Final answer
    x = 654,855.61

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.