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Finding the Third Proportional to 485,181.75 and 694,744.50

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Solution

The third proportional to 485,181.75 and 694,744.50 is: 994,822.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,181.75 : 694,744.50 = 694,744.50 : x
  2. Step 2: Convert to fraction form
    485,181.75/694,744.50 = 694,744.50/x
  3. Step 3: Cross multiply
    485,181.75x = 694,744.50 × 694,744.50
  4. Step 4: Simplify right side
    485,181.75x = 482,669,920,280.25
  5. Step 5: Solve for x
    x = 482,669,920,280.25/485,181.75
  6. Step 6: Final answer
    x = 994,822.91

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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.