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Finding the Third Proportional to 412,674.75 and 851,046.75

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Solution

The third proportional to 412,674.75 and 851,046.75 is: 1,755,088.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,674.75 : 851,046.75 = 851,046.75 : x
  2. Step 2: Convert to fraction form
    412,674.75/851,046.75 = 851,046.75/x
  3. Step 3: Cross multiply
    412,674.75x = 851,046.75 × 851,046.75
  4. Step 4: Simplify right side
    412,674.75x = 724,280,570,685.56
  5. Step 5: Solve for x
    x = 724,280,570,685.56/412,674.75
  6. Step 6: Final answer
    x = 1,755,088.17

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.