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Finding the Third Proportional to 338,504 and 743,448

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Solution

The third proportional to 338,504 and 743,448 is: 1,632,816.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,504 : 743,448 = 743,448 : x
  2. Step 2: Convert to fraction form
    338,504/743,448 = 743,448/x
  3. Step 3: Cross multiply
    338,504x = 743,448 × 743,448
  4. Step 4: Simplify right side
    338,504x = 552,714,928,704
  5. Step 5: Solve for x
    x = 552,714,928,704/338,504
  6. Step 6: Final answer
    x = 1,632,816.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.