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Finding the Third Proportional to 268,512 and 627,120

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Solution

The third proportional to 268,512 and 627,120 is: 1,464,662.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,512 : 627,120 = 627,120 : x
  2. Step 2: Convert to fraction form
    268,512/627,120 = 627,120/x
  3. Step 3: Cross multiply
    268,512x = 627,120 × 627,120
  4. Step 4: Simplify right side
    268,512x = 393,279,494,400
  5. Step 5: Solve for x
    x = 393,279,494,400/268,512
  6. Step 6: Final answer
    x = 1,464,662.64

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.