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Finding the Third Proportional to 367,068 and 538,471

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Solution

The third proportional to 367,068 and 538,471 is: 789,910.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,068 : 538,471 = 538,471 : x
  2. Step 2: Convert to fraction form
    367,068/538,471 = 538,471/x
  3. Step 3: Cross multiply
    367,068x = 538,471 × 538,471
  4. Step 4: Simplify right side
    367,068x = 289,951,017,841
  5. Step 5: Solve for x
    x = 289,951,017,841/367,068
  6. Step 6: Final answer
    x = 789,910.91

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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.