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Finding the Third Proportional to 193,918 and 404,441

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Solution

The third proportional to 193,918 and 404,441 is: 843,513.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,918 : 404,441 = 404,441 : x
  2. Step 2: Convert to fraction form
    193,918/404,441 = 404,441/x
  3. Step 3: Cross multiply
    193,918x = 404,441 × 404,441
  4. Step 4: Simplify right side
    193,918x = 163,572,522,481
  5. Step 5: Solve for x
    x = 163,572,522,481/193,918
  6. Step 6: Final answer
    x = 843,513.87

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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.