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Finding the Third Proportional to 250,420 and 543,302

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Solution

The third proportional to 250,420 and 543,302 is: 1,178,727.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,420 : 543,302 = 543,302 : x
  2. Step 2: Convert to fraction form
    250,420/543,302 = 543,302/x
  3. Step 3: Cross multiply
    250,420x = 543,302 × 543,302
  4. Step 4: Simplify right side
    250,420x = 295,177,063,204
  5. Step 5: Solve for x
    x = 295,177,063,204/250,420
  6. Step 6: Final answer
    x = 1,178,727.99

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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.