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Finding the Third Proportional to 275,482 and 597,268

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Solution

The third proportional to 275,482 and 597,268 is: 1,294,926.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,482 : 597,268 = 597,268 : x
  2. Step 2: Convert to fraction form
    275,482/597,268 = 597,268/x
  3. Step 3: Cross multiply
    275,482x = 597,268 × 597,268
  4. Step 4: Simplify right side
    275,482x = 356,729,063,824
  5. Step 5: Solve for x
    x = 356,729,063,824/275,482
  6. Step 6: Final answer
    x = 1,294,926.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.