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Finding the Third Proportional to 196,442 and 421,558

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Solution

The third proportional to 196,442 and 421,558 is: 904,649.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,442 : 421,558 = 421,558 : x
  2. Step 2: Convert to fraction form
    196,442/421,558 = 421,558/x
  3. Step 3: Cross multiply
    196,442x = 421,558 × 421,558
  4. Step 4: Simplify right side
    196,442x = 177,711,147,364
  5. Step 5: Solve for x
    x = 177,711,147,364/196,442
  6. Step 6: Final answer
    x = 904,649.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.