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Finding the Third Proportional to 268,970 and 401,876

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Solution

The third proportional to 268,970 and 401,876 is: 600,454.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,970 : 401,876 = 401,876 : x
  2. Step 2: Convert to fraction form
    268,970/401,876 = 401,876/x
  3. Step 3: Cross multiply
    268,970x = 401,876 × 401,876
  4. Step 4: Simplify right side
    268,970x = 161,504,319,376
  5. Step 5: Solve for x
    x = 161,504,319,376/268,970
  6. Step 6: Final answer
    x = 600,454.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.