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Finding the Third Proportional to 252,728 and 543,540

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Solution

The third proportional to 252,728 and 543,540 is: 1,168,986.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,728 : 543,540 = 543,540 : x
  2. Step 2: Convert to fraction form
    252,728/543,540 = 543,540/x
  3. Step 3: Cross multiply
    252,728x = 543,540 × 543,540
  4. Step 4: Simplify right side
    252,728x = 295,435,731,600
  5. Step 5: Solve for x
    x = 295,435,731,600/252,728
  6. Step 6: Final answer
    x = 1,168,986.94

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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.