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Finding the Third Proportional to 378,472 and 447,592

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Solution

The third proportional to 378,472 and 447,592 is: 529,335.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,472 : 447,592 = 447,592 : x
  2. Step 2: Convert to fraction form
    378,472/447,592 = 447,592/x
  3. Step 3: Cross multiply
    378,472x = 447,592 × 447,592
  4. Step 4: Simplify right side
    378,472x = 200,338,598,464
  5. Step 5: Solve for x
    x = 200,338,598,464/378,472
  6. Step 6: Final answer
    x = 529,335.32

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These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.