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Finding the Third Proportional to 192,790 and 417,760

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Solution

The third proportional to 192,790 and 417,760 is: 905,251.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,790 : 417,760 = 417,760 : x
  2. Step 2: Convert to fraction form
    192,790/417,760 = 417,760/x
  3. Step 3: Cross multiply
    192,790x = 417,760 × 417,760
  4. Step 4: Simplify right side
    192,790x = 174,523,417,600
  5. Step 5: Solve for x
    x = 174,523,417,600/192,790
  6. Step 6: Final answer
    x = 905,251.40

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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.