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Finding the Third Proportional to 192,962 and 411,412

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Solution

The third proportional to 192,962 and 411,412 is: 877,166.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,962 : 411,412 = 411,412 : x
  2. Step 2: Convert to fraction form
    192,962/411,412 = 411,412/x
  3. Step 3: Cross multiply
    192,962x = 411,412 × 411,412
  4. Step 4: Simplify right side
    192,962x = 169,259,833,744
  5. Step 5: Solve for x
    x = 169,259,833,744/192,962
  6. Step 6: Final answer
    x = 877,166.66

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.