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Finding the Third Proportional to 262,546 and 536,177

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Solution

The third proportional to 262,546 and 536,177 is: 1,094,992.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,546 : 536,177 = 536,177 : x
  2. Step 2: Convert to fraction form
    262,546/536,177 = 536,177/x
  3. Step 3: Cross multiply
    262,546x = 536,177 × 536,177
  4. Step 4: Simplify right side
    262,546x = 287,485,775,329
  5. Step 5: Solve for x
    x = 287,485,775,329/262,546
  6. Step 6: Final answer
    x = 1,094,992.02

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.