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Finding the Third Proportional to 283,041 and 618,570

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Solution

The third proportional to 283,041 and 618,570 is: 1,351,849.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,041 : 618,570 = 618,570 : x
  2. Step 2: Convert to fraction form
    283,041/618,570 = 618,570/x
  3. Step 3: Cross multiply
    283,041x = 618,570 × 618,570
  4. Step 4: Simplify right side
    283,041x = 382,628,844,900
  5. Step 5: Solve for x
    x = 382,628,844,900/283,041
  6. Step 6: Final answer
    x = 1,351,849.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.