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Finding the Third Proportional to 444,840 and 689,380.50

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Solution

The third proportional to 444,840 and 689,380.50 is: 1,068,351.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,840 : 689,380.50 = 689,380.50 : x
  2. Step 2: Convert to fraction form
    444,840/689,380.50 = 689,380.50/x
  3. Step 3: Cross multiply
    444,840x = 689,380.50 × 689,380.50
  4. Step 4: Simplify right side
    444,840x = 475,245,473,780.25
  5. Step 5: Solve for x
    x = 475,245,473,780.25/444,840
  6. Step 6: Final answer
    x = 1,068,351.48

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.