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Finding the Third Proportional to 632,294.25 and 948,455.63

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Solution

The third proportional to 632,294.25 and 948,455.63 is: 1,422,704.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,294.25 : 948,455.63 = 948,455.63 : x
  2. Step 2: Convert to fraction form
    632,294.25/948,455.63 = 948,455.63/x
  3. Step 3: Cross multiply
    632,294.25x = 948,455.63 × 948,455.63
  4. Step 4: Simplify right side
    632,294.25x = 899,568,072,594.14
  5. Step 5: Solve for x
    x = 899,568,072,594.14/632,294.25
  6. Step 6: Final answer
    x = 1,422,704.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.