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Finding the Third Proportional to 288,227.25 and 410,584.50

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Solution

The third proportional to 288,227.25 and 410,584.50 is: 584,884.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,227.25 : 410,584.50 = 410,584.50 : x
  2. Step 2: Convert to fraction form
    288,227.25/410,584.50 = 410,584.50/x
  3. Step 3: Cross multiply
    288,227.25x = 410,584.50 × 410,584.50
  4. Step 4: Simplify right side
    288,227.25x = 168,579,631,640.25
  5. Step 5: Solve for x
    x = 168,579,631,640.25/288,227.25
  6. Step 6: Final answer
    x = 584,884.43

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.