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Finding the Third Proportional to 255,568 and 543,920

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Solution

The third proportional to 255,568 and 543,920 is: 1,157,613.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,568 : 543,920 = 543,920 : x
  2. Step 2: Convert to fraction form
    255,568/543,920 = 543,920/x
  3. Step 3: Cross multiply
    255,568x = 543,920 × 543,920
  4. Step 4: Simplify right side
    255,568x = 295,848,966,400
  5. Step 5: Solve for x
    x = 295,848,966,400/255,568
  6. Step 6: Final answer
    x = 1,157,613.50

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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.