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Finding the Third Proportional to 194,654 and 418,405

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Solution

The third proportional to 194,654 and 418,405 is: 899,353.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,654 : 418,405 = 418,405 : x
  2. Step 2: Convert to fraction form
    194,654/418,405 = 418,405/x
  3. Step 3: Cross multiply
    194,654x = 418,405 × 418,405
  4. Step 4: Simplify right side
    194,654x = 175,062,744,025
  5. Step 5: Solve for x
    x = 175,062,744,025/194,654
  6. Step 6: Final answer
    x = 899,353.44

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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.