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Finding the Third Proportional to 338,975 and 743,074

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Solution

The third proportional to 338,975 and 743,074 is: 1,628,907.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,975 : 743,074 = 743,074 : x
  2. Step 2: Convert to fraction form
    338,975/743,074 = 743,074/x
  3. Step 3: Cross multiply
    338,975x = 743,074 × 743,074
  4. Step 4: Simplify right side
    338,975x = 552,158,969,476
  5. Step 5: Solve for x
    x = 552,158,969,476/338,975
  6. Step 6: Final answer
    x = 1,628,907.65

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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.