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Finding the Third Proportional to 533,504.25 and 948,588.75

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Solution

The third proportional to 533,504.25 and 948,588.75 is: 1,686,623.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,504.25 : 948,588.75 = 948,588.75 : x
  2. Step 2: Convert to fraction form
    533,504.25/948,588.75 = 948,588.75/x
  3. Step 3: Cross multiply
    533,504.25x = 948,588.75 × 948,588.75
  4. Step 4: Simplify right side
    533,504.25x = 899,820,616,626.56
  5. Step 5: Solve for x
    x = 899,820,616,626.56/533,504.25
  6. Step 6: Final answer
    x = 1,686,623.15

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.