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Finding the Third Proportional to 197,806 and 439,838

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Solution

The third proportional to 197,806 and 439,838 is: 978,016.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,806 : 439,838 = 439,838 : x
  2. Step 2: Convert to fraction form
    197,806/439,838 = 439,838/x
  3. Step 3: Cross multiply
    197,806x = 439,838 × 439,838
  4. Step 4: Simplify right side
    197,806x = 193,457,466,244
  5. Step 5: Solve for x
    x = 193,457,466,244/197,806
  6. Step 6: Final answer
    x = 978,016.17

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.