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Finding the Third Proportional to 196,274 and 423,652

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Solution

The third proportional to 196,274 and 423,652 is: 914,441.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,274 : 423,652 = 423,652 : x
  2. Step 2: Convert to fraction form
    196,274/423,652 = 423,652/x
  3. Step 3: Cross multiply
    196,274x = 423,652 × 423,652
  4. Step 4: Simplify right side
    196,274x = 179,481,017,104
  5. Step 5: Solve for x
    x = 179,481,017,104/196,274
  6. Step 6: Final answer
    x = 914,441.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.