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Finding the Third Proportional to 196,293 and 423,672

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Solution

The third proportional to 196,293 and 423,672 is: 914,438.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,293 : 423,672 = 423,672 : x
  2. Step 2: Convert to fraction form
    196,293/423,672 = 423,672/x
  3. Step 3: Cross multiply
    196,293x = 423,672 × 423,672
  4. Step 4: Simplify right side
    196,293x = 179,497,963,584
  5. Step 5: Solve for x
    x = 179,497,963,584/196,293
  6. Step 6: Final answer
    x = 914,438.94

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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.