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Finding the Third Proportional to 228,968 and 498,616

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Solution

The third proportional to 228,968 and 498,616 is: 1,085,819.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,968 : 498,616 = 498,616 : x
  2. Step 2: Convert to fraction form
    228,968/498,616 = 498,616/x
  3. Step 3: Cross multiply
    228,968x = 498,616 × 498,616
  4. Step 4: Simplify right side
    228,968x = 248,617,915,456
  5. Step 5: Solve for x
    x = 248,617,915,456/228,968
  6. Step 6: Final answer
    x = 1,085,819.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.