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Finding the Third Proportional to 267,090.75 and 413,010.56

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Solution

The third proportional to 267,090.75 and 413,010.56 is: 638,650.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,090.75 : 413,010.56 = 413,010.56 : x
  2. Step 2: Convert to fraction form
    267,090.75/413,010.56 = 413,010.56/x
  3. Step 3: Cross multiply
    267,090.75x = 413,010.56 × 413,010.56
  4. Step 4: Simplify right side
    267,090.75x = 170,577,724,736.57
  5. Step 5: Solve for x
    x = 170,577,724,736.57/267,090.75
  6. Step 6: Final answer
    x = 638,650.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.