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Finding the Third Proportional to 255,544 and 543,866

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Solution

The third proportional to 255,544 and 543,866 is: 1,157,492.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,544 : 543,866 = 543,866 : x
  2. Step 2: Convert to fraction form
    255,544/543,866 = 543,866/x
  3. Step 3: Cross multiply
    255,544x = 543,866 × 543,866
  4. Step 4: Simplify right side
    255,544x = 295,790,225,956
  5. Step 5: Solve for x
    x = 295,790,225,956/255,544
  6. Step 6: Final answer
    x = 1,157,492.35

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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.