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Finding the Third Proportional to 335,976 and 484,092

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Solution

The third proportional to 335,976 and 484,092 is: 697,505.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,976 : 484,092 = 484,092 : x
  2. Step 2: Convert to fraction form
    335,976/484,092 = 484,092/x
  3. Step 3: Cross multiply
    335,976x = 484,092 × 484,092
  4. Step 4: Simplify right side
    335,976x = 234,345,064,464
  5. Step 5: Solve for x
    x = 234,345,064,464/335,976
  6. Step 6: Final answer
    x = 697,505.37

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.