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Finding the Third Proportional to 545,220 and 827,640

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Solution

The third proportional to 545,220 and 827,640 is: 1,256,351.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,220 : 827,640 = 827,640 : x
  2. Step 2: Convert to fraction form
    545,220/827,640 = 827,640/x
  3. Step 3: Cross multiply
    545,220x = 827,640 × 827,640
  4. Step 4: Simplify right side
    545,220x = 684,987,969,600
  5. Step 5: Solve for x
    x = 684,987,969,600/545,220
  6. Step 6: Final answer
    x = 1,256,351.51

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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.