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Finding the Third Proportional to 250,434 and 543,330

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Solution

The third proportional to 250,434 and 543,330 is: 1,178,783.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,434 : 543,330 = 543,330 : x
  2. Step 2: Convert to fraction form
    250,434/543,330 = 543,330/x
  3. Step 3: Cross multiply
    250,434x = 543,330 × 543,330
  4. Step 4: Simplify right side
    250,434x = 295,207,488,900
  5. Step 5: Solve for x
    x = 295,207,488,900/250,434
  6. Step 6: Final answer
    x = 1,178,783.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.