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Finding the Third Proportional to 252,640 and 543,488

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Solution

The third proportional to 252,640 and 543,488 is: 1,169,170.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,640 : 543,488 = 543,488 : x
  2. Step 2: Convert to fraction form
    252,640/543,488 = 543,488/x
  3. Step 3: Cross multiply
    252,640x = 543,488 × 543,488
  4. Step 4: Simplify right side
    252,640x = 295,379,206,144
  5. Step 5: Solve for x
    x = 295,379,206,144/252,640
  6. Step 6: Final answer
    x = 1,169,170.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.