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Finding the Third Proportional to 253,029 and 543,573

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Solution

The third proportional to 253,029 and 543,573 is: 1,167,738.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,029 : 543,573 = 543,573 : x
  2. Step 2: Convert to fraction form
    253,029/543,573 = 543,573/x
  3. Step 3: Cross multiply
    253,029x = 543,573 × 543,573
  4. Step 4: Simplify right side
    253,029x = 295,471,606,329
  5. Step 5: Solve for x
    x = 295,471,606,329/253,029
  6. Step 6: Final answer
    x = 1,167,738.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.