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Finding the Third Proportional to 270,950 and 416,627

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Solution

The third proportional to 270,950 and 416,627 is: 640,627.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,950 : 416,627 = 416,627 : x
  2. Step 2: Convert to fraction form
    270,950/416,627 = 416,627/x
  3. Step 3: Cross multiply
    270,950x = 416,627 × 416,627
  4. Step 4: Simplify right side
    270,950x = 173,578,057,129
  5. Step 5: Solve for x
    x = 173,578,057,129/270,950
  6. Step 6: Final answer
    x = 640,627.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.