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Finding the Third Proportional to 259,405 and 400,616

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Solution

The third proportional to 259,405 and 400,616 is: 618,697.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,405 : 400,616 = 400,616 : x
  2. Step 2: Convert to fraction form
    259,405/400,616 = 400,616/x
  3. Step 3: Cross multiply
    259,405x = 400,616 × 400,616
  4. Step 4: Simplify right side
    259,405x = 160,493,179,456
  5. Step 5: Solve for x
    x = 160,493,179,456/259,405
  6. Step 6: Final answer
    x = 618,697.32

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.