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Finding the Third Proportional to 275,214 and 387,567

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Solution

The third proportional to 275,214 and 387,567 is: 545,786.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,214 : 387,567 = 387,567 : x
  2. Step 2: Convert to fraction form
    275,214/387,567 = 387,567/x
  3. Step 3: Cross multiply
    275,214x = 387,567 × 387,567
  4. Step 4: Simplify right side
    275,214x = 150,208,179,489
  5. Step 5: Solve for x
    x = 150,208,179,489/275,214
  6. Step 6: Final answer
    x = 545,786.84

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.