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Finding the Third Proportional to 335,905 and 738,227

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Solution

The third proportional to 335,905 and 738,227 is: 1,622,420.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,905 : 738,227 = 738,227 : x
  2. Step 2: Convert to fraction form
    335,905/738,227 = 738,227/x
  3. Step 3: Cross multiply
    335,905x = 738,227 × 738,227
  4. Step 4: Simplify right side
    335,905x = 544,979,103,529
  5. Step 5: Solve for x
    x = 544,979,103,529/335,905
  6. Step 6: Final answer
    x = 1,622,420.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.