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Finding the Third Proportional to 379,378 and 793,829

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Solution

The third proportional to 379,378 and 793,829 is: 1,661,046.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,378 : 793,829 = 793,829 : x
  2. Step 2: Convert to fraction form
    379,378/793,829 = 793,829/x
  3. Step 3: Cross multiply
    379,378x = 793,829 × 793,829
  4. Step 4: Simplify right side
    379,378x = 630,164,481,241
  5. Step 5: Solve for x
    x = 630,164,481,241/379,378
  6. Step 6: Final answer
    x = 1,661,046.45

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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.