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Finding the Third Proportional to 268,947 and 376,974

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Solution

The third proportional to 268,947 and 376,974 is: 528,391.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,947 : 376,974 = 376,974 : x
  2. Step 2: Convert to fraction form
    268,947/376,974 = 376,974/x
  3. Step 3: Cross multiply
    268,947x = 376,974 × 376,974
  4. Step 4: Simplify right side
    268,947x = 142,109,396,676
  5. Step 5: Solve for x
    x = 142,109,396,676/268,947
  6. Step 6: Final answer
    x = 528,391.83

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.