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Finding the Third Proportional to 379,376 and 793,825

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Solution

The third proportional to 379,376 and 793,825 is: 1,661,038.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,376 : 793,825 = 793,825 : x
  2. Step 2: Convert to fraction form
    379,376/793,825 = 793,825/x
  3. Step 3: Cross multiply
    379,376x = 793,825 × 793,825
  4. Step 4: Simplify right side
    379,376x = 630,158,130,625
  5. Step 5: Solve for x
    x = 630,158,130,625/379,376
  6. Step 6: Final answer
    x = 1,661,038.47

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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.