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Finding the Third Proportional to 192,384 and 410,904

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Solution

The third proportional to 192,384 and 410,904 is: 877,630.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,384 : 410,904 = 410,904 : x
  2. Step 2: Convert to fraction form
    192,384/410,904 = 410,904/x
  3. Step 3: Cross multiply
    192,384x = 410,904 × 410,904
  4. Step 4: Simplify right side
    192,384x = 168,842,097,216
  5. Step 5: Solve for x
    x = 168,842,097,216/192,384
  6. Step 6: Final answer
    x = 877,630.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.