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Finding the Third Proportional to 245,296 and 543,053

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Solution

The third proportional to 245,296 and 543,053 is: 1,202,247.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,296 : 543,053 = 543,053 : x
  2. Step 2: Convert to fraction form
    245,296/543,053 = 543,053/x
  3. Step 3: Cross multiply
    245,296x = 543,053 × 543,053
  4. Step 4: Simplify right side
    245,296x = 294,906,560,809
  5. Step 5: Solve for x
    x = 294,906,560,809/245,296
  6. Step 6: Final answer
    x = 1,202,247.74

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.