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Finding the Third Proportional to 254,736 and 543,276

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Solution

The third proportional to 254,736 and 543,276 is: 1,158,645.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,736 : 543,276 = 543,276 : x
  2. Step 2: Convert to fraction form
    254,736/543,276 = 543,276/x
  3. Step 3: Cross multiply
    254,736x = 543,276 × 543,276
  4. Step 4: Simplify right side
    254,736x = 295,148,812,176
  5. Step 5: Solve for x
    x = 295,148,812,176/254,736
  6. Step 6: Final answer
    x = 1,158,645.86

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.