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Finding the Third Proportional to 275,280 and 407,796

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Solution

The third proportional to 275,280 and 407,796 is: 604,103.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,280 : 407,796 = 407,796 : x
  2. Step 2: Convert to fraction form
    275,280/407,796 = 407,796/x
  3. Step 3: Cross multiply
    275,280x = 407,796 × 407,796
  4. Step 4: Simplify right side
    275,280x = 166,297,577,616
  5. Step 5: Solve for x
    x = 166,297,577,616/275,280
  6. Step 6: Final answer
    x = 604,103.38

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.