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Finding the Third Proportional to 285,816 and 627,684

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Solution

The third proportional to 285,816 and 627,684 is: 1,378,464.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,816 : 627,684 = 627,684 : x
  2. Step 2: Convert to fraction form
    285,816/627,684 = 627,684/x
  3. Step 3: Cross multiply
    285,816x = 627,684 × 627,684
  4. Step 4: Simplify right side
    285,816x = 393,987,203,856
  5. Step 5: Solve for x
    x = 393,987,203,856/285,816
  6. Step 6: Final answer
    x = 1,378,464.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.