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Finding the Third Proportional to 303,149 and 475,551

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Solution

The third proportional to 303,149 and 475,551 is: 745,998.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,149 : 475,551 = 475,551 : x
  2. Step 2: Convert to fraction form
    303,149/475,551 = 475,551/x
  3. Step 3: Cross multiply
    303,149x = 475,551 × 475,551
  4. Step 4: Simplify right side
    303,149x = 226,148,753,601
  5. Step 5: Solve for x
    x = 226,148,753,601/303,149
  6. Step 6: Final answer
    x = 745,998.68

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.