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Finding the Third Proportional to 377,640.56 and 821,685.94

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Solution

The third proportional to 377,640.56 and 821,685.94 is: 1,787,858.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,640.56 : 821,685.94 = 821,685.94 : x
  2. Step 2: Convert to fraction form
    377,640.56/821,685.94 = 821,685.94/x
  3. Step 3: Cross multiply
    377,640.56x = 821,685.94 × 821,685.94
  4. Step 4: Simplify right side
    377,640.56x = 675,167,779,885.25
  5. Step 5: Solve for x
    x = 675,167,779,885.25/377,640.56
  6. Step 6: Final answer
    x = 1,787,858.21

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.