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Finding the Third Proportional to 268,977 and 376,965

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Solution

The third proportional to 268,977 and 376,965 is: 528,307.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,977 : 376,965 = 376,965 : x
  2. Step 2: Convert to fraction form
    268,977/376,965 = 376,965/x
  3. Step 3: Cross multiply
    268,977x = 376,965 × 376,965
  4. Step 4: Simplify right side
    268,977x = 142,102,611,225
  5. Step 5: Solve for x
    x = 142,102,611,225/268,977
  6. Step 6: Final answer
    x = 528,307.67

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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.