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Finding the Third Proportional to 192,390 and 410,916

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Solution

The third proportional to 192,390 and 410,916 is: 877,654.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,390 : 410,916 = 410,916 : x
  2. Step 2: Convert to fraction form
    192,390/410,916 = 410,916/x
  3. Step 3: Cross multiply
    192,390x = 410,916 × 410,916
  4. Step 4: Simplify right side
    192,390x = 168,851,959,056
  5. Step 5: Solve for x
    x = 168,851,959,056/192,390
  6. Step 6: Final answer
    x = 877,654.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.