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Finding the Third Proportional to 379,317 and 812,738.06

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Solution

The third proportional to 379,317 and 812,738.06 is: 1,741,401.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,317 : 812,738.06 = 812,738.06 : x
  2. Step 2: Convert to fraction form
    379,317/812,738.06 = 812,738.06/x
  3. Step 3: Cross multiply
    379,317x = 812,738.06 × 812,738.06
  4. Step 4: Simplify right side
    379,317x = 660,543,158,236.25
  5. Step 5: Solve for x
    x = 660,543,158,236.25/379,317
  6. Step 6: Final answer
    x = 1,741,401.41

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.