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Finding the Third Proportional to 308,087 and 412,092

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Solution

The third proportional to 308,087 and 412,092 is: 551,207.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,087 : 412,092 = 412,092 : x
  2. Step 2: Convert to fraction form
    308,087/412,092 = 412,092/x
  3. Step 3: Cross multiply
    308,087x = 412,092 × 412,092
  4. Step 4: Simplify right side
    308,087x = 169,819,816,464
  5. Step 5: Solve for x
    x = 169,819,816,464/308,087
  6. Step 6: Final answer
    x = 551,207.34

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.