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Finding the Third Proportional to 300,914 and 446,394

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Solution

The third proportional to 300,914 and 446,394 is: 662,207.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,914 : 446,394 = 446,394 : x
  2. Step 2: Convert to fraction form
    300,914/446,394 = 446,394/x
  3. Step 3: Cross multiply
    300,914x = 446,394 × 446,394
  4. Step 4: Simplify right side
    300,914x = 199,267,603,236
  5. Step 5: Solve for x
    x = 199,267,603,236/300,914
  6. Step 6: Final answer
    x = 662,207.82

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.