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Finding the Third Proportional to 379,381.50 and 793,827

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Solution

The third proportional to 379,381.50 and 793,827 is: 1,661,022.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,381.50 : 793,827 = 793,827 : x
  2. Step 2: Convert to fraction form
    379,381.50/793,827 = 793,827/x
  3. Step 3: Cross multiply
    379,381.50x = 793,827 × 793,827
  4. Step 4: Simplify right side
    379,381.50x = 630,161,305,929
  5. Step 5: Solve for x
    x = 630,161,305,929/379,381.50
  6. Step 6: Final answer
    x = 1,661,022.76

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.