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Finding the Third Proportional to 384,661.41 and 834,522.75

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Solution

The third proportional to 384,661.41 and 834,522.75 is: 1,810,496.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,661.41 : 834,522.75 = 834,522.75 : x
  2. Step 2: Convert to fraction form
    384,661.41/834,522.75 = 834,522.75/x
  3. Step 3: Cross multiply
    384,661.41x = 834,522.75 × 834,522.75
  4. Step 4: Simplify right side
    384,661.41x = 696,428,220,267.56
  5. Step 5: Solve for x
    x = 696,428,220,267.56/384,661.41
  6. Step 6: Final answer
    x = 1,810,496.74

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.