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Finding the Third Proportional to 464,378.25 and 948,435.75

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Solution

The third proportional to 464,378.25 and 948,435.75 is: 1,937,063.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,378.25 : 948,435.75 = 948,435.75 : x
  2. Step 2: Convert to fraction form
    464,378.25/948,435.75 = 948,435.75/x
  3. Step 3: Cross multiply
    464,378.25x = 948,435.75 × 948,435.75
  4. Step 4: Simplify right side
    464,378.25x = 899,530,371,878.06
  5. Step 5: Solve for x
    x = 899,530,371,878.06/464,378.25
  6. Step 6: Final answer
    x = 1,937,063.96

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.