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Finding the Third Proportional to 193,586 and 404,914

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Solution

The third proportional to 193,586 and 404,914 is: 846,938.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,586 : 404,914 = 404,914 : x
  2. Step 2: Convert to fraction form
    193,586/404,914 = 404,914/x
  3. Step 3: Cross multiply
    193,586x = 404,914 × 404,914
  4. Step 4: Simplify right side
    193,586x = 163,955,347,396
  5. Step 5: Solve for x
    x = 163,955,347,396/193,586
  6. Step 6: Final answer
    x = 846,938.04

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.