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Finding the Third Proportional to 260,276 and 543,144

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Solution

The third proportional to 260,276 and 543,144 is: 1,133,432.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,276 : 543,144 = 543,144 : x
  2. Step 2: Convert to fraction form
    260,276/543,144 = 543,144/x
  3. Step 3: Cross multiply
    260,276x = 543,144 × 543,144
  4. Step 4: Simplify right side
    260,276x = 295,005,404,736
  5. Step 5: Solve for x
    x = 295,005,404,736/260,276
  6. Step 6: Final answer
    x = 1,133,432.99

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.