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Finding the Third Proportional to 379,680 and 835,152

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Solution

The third proportional to 379,680 and 835,152 is: 1,837,017.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,680 : 835,152 = 835,152 : x
  2. Step 2: Convert to fraction form
    379,680/835,152 = 835,152/x
  3. Step 3: Cross multiply
    379,680x = 835,152 × 835,152
  4. Step 4: Simplify right side
    379,680x = 697,478,863,104
  5. Step 5: Solve for x
    x = 697,478,863,104/379,680
  6. Step 6: Final answer
    x = 1,837,017.65

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.