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Finding the Third Proportional to 275,944 and 370,836

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Solution

The third proportional to 275,944 and 370,836 is: 498,359.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,944 : 370,836 = 370,836 : x
  2. Step 2: Convert to fraction form
    275,944/370,836 = 370,836/x
  3. Step 3: Cross multiply
    275,944x = 370,836 × 370,836
  4. Step 4: Simplify right side
    275,944x = 137,519,338,896
  5. Step 5: Solve for x
    x = 137,519,338,896/275,944
  6. Step 6: Final answer
    x = 498,359.59

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.