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Finding the Third Proportional to 265,180 and 401,622

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Solution

The third proportional to 265,180 and 401,622 is: 608,266.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,180 : 401,622 = 401,622 : x
  2. Step 2: Convert to fraction form
    265,180/401,622 = 401,622/x
  3. Step 3: Cross multiply
    265,180x = 401,622 × 401,622
  4. Step 4: Simplify right side
    265,180x = 161,300,230,884
  5. Step 5: Solve for x
    x = 161,300,230,884/265,180
  6. Step 6: Final answer
    x = 608,266.95

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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.