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Finding the Third Proportional to 259,212 and 618,222

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Solution

The third proportional to 259,212 and 618,222 is: 1,474,462.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,212 : 618,222 = 618,222 : x
  2. Step 2: Convert to fraction form
    259,212/618,222 = 618,222/x
  3. Step 3: Cross multiply
    259,212x = 618,222 × 618,222
  4. Step 4: Simplify right side
    259,212x = 382,198,441,284
  5. Step 5: Solve for x
    x = 382,198,441,284/259,212
  6. Step 6: Final answer
    x = 1,474,462.76

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.