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Finding the Third Proportional to 197,104 and 423,728

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Solution

The third proportional to 197,104 and 423,728 is: 910,917.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,104 : 423,728 = 423,728 : x
  2. Step 2: Convert to fraction form
    197,104/423,728 = 423,728/x
  3. Step 3: Cross multiply
    197,104x = 423,728 × 423,728
  4. Step 4: Simplify right side
    197,104x = 179,545,417,984
  5. Step 5: Solve for x
    x = 179,545,417,984/197,104
  6. Step 6: Final answer
    x = 910,917.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.