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Finding the Third Proportional to 270,772 and 420,965

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Solution

The third proportional to 270,772 and 420,965 is: 654,467.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,772 : 420,965 = 420,965 : x
  2. Step 2: Convert to fraction form
    270,772/420,965 = 420,965/x
  3. Step 3: Cross multiply
    270,772x = 420,965 × 420,965
  4. Step 4: Simplify right side
    270,772x = 177,211,531,225
  5. Step 5: Solve for x
    x = 177,211,531,225/270,772
  6. Step 6: Final answer
    x = 654,467.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.