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Finding the Third Proportional to 444,841.88 and 689,383.41

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Solution

The third proportional to 444,841.88 and 689,383.41 is: 1,068,355.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,841.88 : 689,383.41 = 689,383.41 : x
  2. Step 2: Convert to fraction form
    444,841.88/689,383.41 = 689,383.41/x
  3. Step 3: Cross multiply
    444,841.88x = 689,383.41 × 689,383.41
  4. Step 4: Simplify right side
    444,841.88x = 475,249,480,812.85
  5. Step 5: Solve for x
    x = 475,249,480,812.85/444,841.88
  6. Step 6: Final answer
    x = 1,068,355.99

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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.