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Finding the Third Proportional to 279,204 and 620,328

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Solution

The third proportional to 279,204 and 620,328 is: 1,378,228.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,204 : 620,328 = 620,328 : x
  2. Step 2: Convert to fraction form
    279,204/620,328 = 620,328/x
  3. Step 3: Cross multiply
    279,204x = 620,328 × 620,328
  4. Step 4: Simplify right side
    279,204x = 384,806,827,584
  5. Step 5: Solve for x
    x = 384,806,827,584/279,204
  6. Step 6: Final answer
    x = 1,378,228.20

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.