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Finding the Third Proportional to 197,299 and 427,796

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Solution

The third proportional to 197,299 and 427,796 is: 927,573.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,299 : 427,796 = 427,796 : x
  2. Step 2: Convert to fraction form
    197,299/427,796 = 427,796/x
  3. Step 3: Cross multiply
    197,299x = 427,796 × 427,796
  4. Step 4: Simplify right side
    197,299x = 183,009,417,616
  5. Step 5: Solve for x
    x = 183,009,417,616/197,299
  6. Step 6: Final answer
    x = 927,573.97

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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.