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Finding the Third Proportional to 197,014 and 418,634

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Solution

The third proportional to 197,014 and 418,634 is: 889,553.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,014 : 418,634 = 418,634 : x
  2. Step 2: Convert to fraction form
    197,014/418,634 = 418,634/x
  3. Step 3: Cross multiply
    197,014x = 418,634 × 418,634
  4. Step 4: Simplify right side
    197,014x = 175,254,425,956
  5. Step 5: Solve for x
    x = 175,254,425,956/197,014
  6. Step 6: Final answer
    x = 889,553.16

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.