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Finding the Third Proportional to 545,242 and 827,675

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Solution

The third proportional to 545,242 and 827,675 is: 1,256,407.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,242 : 827,675 = 827,675 : x
  2. Step 2: Convert to fraction form
    545,242/827,675 = 827,675/x
  3. Step 3: Cross multiply
    545,242x = 827,675 × 827,675
  4. Step 4: Simplify right side
    545,242x = 685,045,905,625
  5. Step 5: Solve for x
    x = 685,045,905,625/545,242
  6. Step 6: Final answer
    x = 1,256,407.07

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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.