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Finding the Third Proportional to 379,161 and 834,583.50

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Solution

The third proportional to 379,161 and 834,583.50 is: 1,837,028.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,161 : 834,583.50 = 834,583.50 : x
  2. Step 2: Convert to fraction form
    379,161/834,583.50 = 834,583.50/x
  3. Step 3: Cross multiply
    379,161x = 834,583.50 × 834,583.50
  4. Step 4: Simplify right side
    379,161x = 696,529,618,472.25
  5. Step 5: Solve for x
    x = 696,529,618,472.25/379,161
  6. Step 6: Final answer
    x = 1,837,028.65

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Why These Related Problems?

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