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Finding the Third Proportional to 545,240.50 and 827,672.75

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Solution

The third proportional to 545,240.50 and 827,672.75 is: 1,256,403.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,240.50 : 827,672.75 = 827,672.75 : x
  2. Step 2: Convert to fraction form
    545,240.50/827,672.75 = 827,672.75/x
  3. Step 3: Cross multiply
    545,240.50x = 827,672.75 × 827,672.75
  4. Step 4: Simplify right side
    545,240.50x = 685,042,181,092.56
  5. Step 5: Solve for x
    x = 685,042,181,092.56/545,240.50
  6. Step 6: Final answer
    x = 1,256,403.70

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