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Finding the Third Proportional to 252,995.06 and 543,506.63

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Solution

The third proportional to 252,995.06 and 543,506.63 is: 1,167,609.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,995.06 : 543,506.63 = 543,506.63 : x
  2. Step 2: Convert to fraction form
    252,995.06/543,506.63 = 543,506.63/x
  3. Step 3: Cross multiply
    252,995.06x = 543,506.63 × 543,506.63
  4. Step 4: Simplify right side
    252,995.06x = 295,399,451,418.89
  5. Step 5: Solve for x
    x = 295,399,451,418.89/252,995.06
  6. Step 6: Final answer
    x = 1,167,609.55

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