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Finding the Third Proportional to 252,996.50 and 543,512.50

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Solution

The third proportional to 252,996.50 and 543,512.50 is: 1,167,628.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,996.50 : 543,512.50 = 543,512.50 : x
  2. Step 2: Convert to fraction form
    252,996.50/543,512.50 = 543,512.50/x
  3. Step 3: Cross multiply
    252,996.50x = 543,512.50 × 543,512.50
  4. Step 4: Simplify right side
    252,996.50x = 295,405,837,656.25
  5. Step 5: Solve for x
    x = 295,405,837,656.25/252,996.50
  6. Step 6: Final answer
    x = 1,167,628.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.