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Finding the Third Proportional to 270,760 and 624,036

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Solution

The third proportional to 270,760 and 624,036 is: 1,438,251.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,760 : 624,036 = 624,036 : x
  2. Step 2: Convert to fraction form
    270,760/624,036 = 624,036/x
  3. Step 3: Cross multiply
    270,760x = 624,036 × 624,036
  4. Step 4: Simplify right side
    270,760x = 389,420,929,296
  5. Step 5: Solve for x
    x = 389,420,929,296/270,760
  6. Step 6: Final answer
    x = 1,438,251.33

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.