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Finding the Third Proportional to 253,533 and 543,054

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Solution

The third proportional to 253,533 and 543,054 is: 1,163,192.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,533 : 543,054 = 543,054 : x
  2. Step 2: Convert to fraction form
    253,533/543,054 = 543,054/x
  3. Step 3: Cross multiply
    253,533x = 543,054 × 543,054
  4. Step 4: Simplify right side
    253,533x = 294,907,646,916
  5. Step 5: Solve for x
    x = 294,907,646,916/253,533
  6. Step 6: Final answer
    x = 1,163,192.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.