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Finding the Third Proportional to 298,116 and 446,040

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Solution

The third proportional to 298,116 and 446,040 is: 667,363.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,116 : 446,040 = 446,040 : x
  2. Step 2: Convert to fraction form
    298,116/446,040 = 446,040/x
  3. Step 3: Cross multiply
    298,116x = 446,040 × 446,040
  4. Step 4: Simplify right side
    298,116x = 198,951,681,600
  5. Step 5: Solve for x
    x = 198,951,681,600/298,116
  6. Step 6: Final answer
    x = 667,363.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.