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Finding the Third Proportional to 281,183 and 606,655

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Solution

The third proportional to 281,183 and 606,655 is: 1,308,863.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,183 : 606,655 = 606,655 : x
  2. Step 2: Convert to fraction form
    281,183/606,655 = 606,655/x
  3. Step 3: Cross multiply
    281,183x = 606,655 × 606,655
  4. Step 4: Simplify right side
    281,183x = 368,030,289,025
  5. Step 5: Solve for x
    x = 368,030,289,025/281,183
  6. Step 6: Final answer
    x = 1,308,863.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.