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Finding the Third Proportional to 475,207.75 and 984,099.25

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Solution

The third proportional to 475,207.75 and 984,099.25 is: 2,037,953.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,207.75 : 984,099.25 = 984,099.25 : x
  2. Step 2: Convert to fraction form
    475,207.75/984,099.25 = 984,099.25/x
  3. Step 3: Cross multiply
    475,207.75x = 984,099.25 × 984,099.25
  4. Step 4: Simplify right side
    475,207.75x = 968,451,333,850.56
  5. Step 5: Solve for x
    x = 968,451,333,850.56/475,207.75
  6. Step 6: Final answer
    x = 2,037,953.58

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.