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Finding the Third Proportional to 270,962 and 627,467

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Solution

The third proportional to 270,962 and 627,467 is: 1,453,026.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,962 : 627,467 = 627,467 : x
  2. Step 2: Convert to fraction form
    270,962/627,467 = 627,467/x
  3. Step 3: Cross multiply
    270,962x = 627,467 × 627,467
  4. Step 4: Simplify right side
    270,962x = 393,714,836,089
  5. Step 5: Solve for x
    x = 393,714,836,089/270,962
  6. Step 6: Final answer
    x = 1,453,026.02

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.