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Finding the Third Proportional to 380,220 and 826,131

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Solution

The third proportional to 380,220 and 826,131 is: 1,794,993.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,220 : 826,131 = 826,131 : x
  2. Step 2: Convert to fraction form
    380,220/826,131 = 826,131/x
  3. Step 3: Cross multiply
    380,220x = 826,131 × 826,131
  4. Step 4: Simplify right side
    380,220x = 682,492,429,161
  5. Step 5: Solve for x
    x = 682,492,429,161/380,220
  6. Step 6: Final answer
    x = 1,794,993.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.