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Finding the Third Proportional to 305,467 and 449,050

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Solution

The third proportional to 305,467 and 449,050 is: 660,123.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,467 : 449,050 = 449,050 : x
  2. Step 2: Convert to fraction form
    305,467/449,050 = 449,050/x
  3. Step 3: Cross multiply
    305,467x = 449,050 × 449,050
  4. Step 4: Simplify right side
    305,467x = 201,645,902,500
  5. Step 5: Solve for x
    x = 201,645,902,500/305,467
  6. Step 6: Final answer
    x = 660,123.36

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.