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Finding the Third Proportional to 362,424 and 768,696

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Solution

The third proportional to 362,424 and 768,696 is: 1,630,392.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,424 : 768,696 = 768,696 : x
  2. Step 2: Convert to fraction form
    362,424/768,696 = 768,696/x
  3. Step 3: Cross multiply
    362,424x = 768,696 × 768,696
  4. Step 4: Simplify right side
    362,424x = 590,893,540,416
  5. Step 5: Solve for x
    x = 590,893,540,416/362,424
  6. Step 6: Final answer
    x = 1,630,392.97

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.