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Finding the Third Proportional to 283,040 and 618,568

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Solution

The third proportional to 283,040 and 618,568 is: 1,351,845.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,040 : 618,568 = 618,568 : x
  2. Step 2: Convert to fraction form
    283,040/618,568 = 618,568/x
  3. Step 3: Cross multiply
    283,040x = 618,568 × 618,568
  4. Step 4: Simplify right side
    283,040x = 382,626,370,624
  5. Step 5: Solve for x
    x = 382,626,370,624/283,040
  6. Step 6: Final answer
    x = 1,351,845.57

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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.