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Finding the Third Proportional to 188,282 and 413,879

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Solution

The third proportional to 188,282 and 413,879 is: 909,783.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,282 : 413,879 = 413,879 : x
  2. Step 2: Convert to fraction form
    188,282/413,879 = 413,879/x
  3. Step 3: Cross multiply
    188,282x = 413,879 × 413,879
  4. Step 4: Simplify right side
    188,282x = 171,295,826,641
  5. Step 5: Solve for x
    x = 171,295,826,641/188,282
  6. Step 6: Final answer
    x = 909,783.34

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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.