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Finding the Third Proportional to 279,202 and 620,324

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Solution

The third proportional to 279,202 and 620,324 is: 1,378,220.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,202 : 620,324 = 620,324 : x
  2. Step 2: Convert to fraction form
    279,202/620,324 = 620,324/x
  3. Step 3: Cross multiply
    279,202x = 620,324 × 620,324
  4. Step 4: Simplify right side
    279,202x = 384,801,864,976
  5. Step 5: Solve for x
    x = 384,801,864,976/279,202
  6. Step 6: Final answer
    x = 1,378,220.30

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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.