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Finding the Third Proportional to 267,004.50 and 543,924

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Solution

The third proportional to 267,004.50 and 543,924 is: 1,108,046.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,004.50 : 543,924 = 543,924 : x
  2. Step 2: Convert to fraction form
    267,004.50/543,924 = 543,924/x
  3. Step 3: Cross multiply
    267,004.50x = 543,924 × 543,924
  4. Step 4: Simplify right side
    267,004.50x = 295,853,317,776
  5. Step 5: Solve for x
    x = 295,853,317,776/267,004.50
  6. Step 6: Final answer
    x = 1,108,046.19

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.