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Finding the Third Proportional to 188,838 and 410,543

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Solution

The third proportional to 188,838 and 410,543 is: 892,540.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,838 : 410,543 = 410,543 : x
  2. Step 2: Convert to fraction form
    188,838/410,543 = 410,543/x
  3. Step 3: Cross multiply
    188,838x = 410,543 × 410,543
  4. Step 4: Simplify right side
    188,838x = 168,545,554,849
  5. Step 5: Solve for x
    x = 168,545,554,849/188,838
  6. Step 6: Final answer
    x = 892,540.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.