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Finding the Third Proportional to 545,244 and 827,676

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Solution

The third proportional to 545,244 and 827,676 is: 1,256,405.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,244 : 827,676 = 827,676 : x
  2. Step 2: Convert to fraction form
    545,244/827,676 = 827,676/x
  3. Step 3: Cross multiply
    545,244x = 827,676 × 827,676
  4. Step 4: Simplify right side
    545,244x = 685,047,560,976
  5. Step 5: Solve for x
    x = 685,047,560,976/545,244
  6. Step 6: Final answer
    x = 1,256,405.50

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.