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Finding the Third Proportional to 328,496 and 363,056

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Solution

The third proportional to 328,496 and 363,056 is: 401,251.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,496 : 363,056 = 363,056 : x
  2. Step 2: Convert to fraction form
    328,496/363,056 = 363,056/x
  3. Step 3: Cross multiply
    328,496x = 363,056 × 363,056
  4. Step 4: Simplify right side
    328,496x = 131,809,659,136
  5. Step 5: Solve for x
    x = 131,809,659,136/328,496
  6. Step 6: Final answer
    x = 401,251.95

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.