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Finding the Third Proportional to 252,294 and 543,756

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Solution

The third proportional to 252,294 and 543,756 is: 1,171,928.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,294 : 543,756 = 543,756 : x
  2. Step 2: Convert to fraction form
    252,294/543,756 = 543,756/x
  3. Step 3: Cross multiply
    252,294x = 543,756 × 543,756
  4. Step 4: Simplify right side
    252,294x = 295,670,587,536
  5. Step 5: Solve for x
    x = 295,670,587,536/252,294
  6. Step 6: Final answer
    x = 1,171,928.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.