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Finding the Third Proportional to 367,072 and 538,477

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Solution

The third proportional to 367,072 and 538,477 is: 789,919.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,072 : 538,477 = 538,477 : x
  2. Step 2: Convert to fraction form
    367,072/538,477 = 538,477/x
  3. Step 3: Cross multiply
    367,072x = 538,477 × 538,477
  4. Step 4: Simplify right side
    367,072x = 289,957,479,529
  5. Step 5: Solve for x
    x = 289,957,479,529/367,072
  6. Step 6: Final answer
    x = 789,919.91

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.