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Finding the Third Proportional to 288,105.75 and 414,996.75

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Solution

The third proportional to 288,105.75 and 414,996.75 is: 597,774.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,105.75 : 414,996.75 = 414,996.75 : x
  2. Step 2: Convert to fraction form
    288,105.75/414,996.75 = 414,996.75/x
  3. Step 3: Cross multiply
    288,105.75x = 414,996.75 × 414,996.75
  4. Step 4: Simplify right side
    288,105.75x = 172,222,302,510.56
  5. Step 5: Solve for x
    x = 172,222,302,510.56/288,105.75
  6. Step 6: Final answer
    x = 597,774.61

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.