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Finding the Third Proportional to 262,416 and 543,504

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Solution

The third proportional to 262,416 and 543,504 is: 1,125,680.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,416 : 543,504 = 543,504 : x
  2. Step 2: Convert to fraction form
    262,416/543,504 = 543,504/x
  3. Step 3: Cross multiply
    262,416x = 543,504 × 543,504
  4. Step 4: Simplify right side
    262,416x = 295,396,598,016
  5. Step 5: Solve for x
    x = 295,396,598,016/262,416
  6. Step 6: Final answer
    x = 1,125,680.59

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.