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Finding the Third Proportional to 268,974 and 404,622

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Solution

The third proportional to 268,974 and 404,622 is: 608,679.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,974 : 404,622 = 404,622 : x
  2. Step 2: Convert to fraction form
    268,974/404,622 = 404,622/x
  3. Step 3: Cross multiply
    268,974x = 404,622 × 404,622
  4. Step 4: Simplify right side
    268,974x = 163,718,962,884
  5. Step 5: Solve for x
    x = 163,718,962,884/268,974
  6. Step 6: Final answer
    x = 608,679.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.