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Finding the Third Proportional to 368,021 and 548,137

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Solution

The third proportional to 368,021 and 548,137 is: 816,404.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,021 : 548,137 = 548,137 : x
  2. Step 2: Convert to fraction form
    368,021/548,137 = 548,137/x
  3. Step 3: Cross multiply
    368,021x = 548,137 × 548,137
  4. Step 4: Simplify right side
    368,021x = 300,454,170,769
  5. Step 5: Solve for x
    x = 300,454,170,769/368,021
  6. Step 6: Final answer
    x = 816,404.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.