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Finding the Third Proportional to 192,783 and 417,747

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Solution

The third proportional to 192,783 and 417,747 is: 905,227.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,783 : 417,747 = 417,747 : x
  2. Step 2: Convert to fraction form
    192,783/417,747 = 417,747/x
  3. Step 3: Cross multiply
    192,783x = 417,747 × 417,747
  4. Step 4: Simplify right side
    192,783x = 174,512,556,009
  5. Step 5: Solve for x
    x = 174,512,556,009/192,783
  6. Step 6: Final answer
    x = 905,227.93

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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.