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Finding the Third Proportional to 335,980 and 484,098

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Solution

The third proportional to 335,980 and 484,098 is: 697,514.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,980 : 484,098 = 484,098 : x
  2. Step 2: Convert to fraction form
    335,980/484,098 = 484,098/x
  3. Step 3: Cross multiply
    335,980x = 484,098 × 484,098
  4. Step 4: Simplify right side
    335,980x = 234,350,873,604
  5. Step 5: Solve for x
    x = 234,350,873,604/335,980
  6. Step 6: Final answer
    x = 697,514.36

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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.