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Finding the Third Proportional to 485,181.75 and 694,744.13

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Solution

The third proportional to 485,181.75 and 694,744.13 is: 994,821.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,181.75 : 694,744.13 = 694,744.13 : x
  2. Step 2: Convert to fraction form
    485,181.75/694,744.13 = 694,744.13/x
  3. Step 3: Cross multiply
    485,181.75x = 694,744.13 × 694,744.13
  4. Step 4: Simplify right side
    485,181.75x = 482,669,399,222.02
  5. Step 5: Solve for x
    x = 482,669,399,222.02/485,181.75
  6. Step 6: Final answer
    x = 994,821.84

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.