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Finding the Third Proportional to 368,864 and 751,252

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Solution

The third proportional to 368,864 and 751,252 is: 1,530,047.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,864 : 751,252 = 751,252 : x
  2. Step 2: Convert to fraction form
    368,864/751,252 = 751,252/x
  3. Step 3: Cross multiply
    368,864x = 751,252 × 751,252
  4. Step 4: Simplify right side
    368,864x = 564,379,567,504
  5. Step 5: Solve for x
    x = 564,379,567,504/368,864
  6. Step 6: Final answer
    x = 1,530,047.84

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.