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Finding the Third Proportional to 304,033.50 and 703,759.50

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Solution

The third proportional to 304,033.50 and 703,759.50 is: 1,629,022.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,033.50 : 703,759.50 = 703,759.50 : x
  2. Step 2: Convert to fraction form
    304,033.50/703,759.50 = 703,759.50/x
  3. Step 3: Cross multiply
    304,033.50x = 703,759.50 × 703,759.50
  4. Step 4: Simplify right side
    304,033.50x = 495,277,433,840.25
  5. Step 5: Solve for x
    x = 495,277,433,840.25/304,033.50
  6. Step 6: Final answer
    x = 1,629,022.57

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.