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Finding the Third Proportional to 265,183 and 401,626

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Solution

The third proportional to 265,183 and 401,626 is: 608,272.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,183 : 401,626 = 401,626 : x
  2. Step 2: Convert to fraction form
    265,183/401,626 = 401,626/x
  3. Step 3: Cross multiply
    265,183x = 401,626 × 401,626
  4. Step 4: Simplify right side
    265,183x = 161,303,443,876
  5. Step 5: Solve for x
    x = 161,303,443,876/265,183
  6. Step 6: Final answer
    x = 608,272.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.