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Finding the Third Proportional to 197,244 and 432,004

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Solution

The third proportional to 197,244 and 432,004 is: 946,175.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,244 : 432,004 = 432,004 : x
  2. Step 2: Convert to fraction form
    197,244/432,004 = 432,004/x
  3. Step 3: Cross multiply
    197,244x = 432,004 × 432,004
  4. Step 4: Simplify right side
    197,244x = 186,627,456,016
  5. Step 5: Solve for x
    x = 186,627,456,016/197,244
  6. Step 6: Final answer
    x = 946,175.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.