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Finding the Third Proportional to 412,818.75 and 837,258.75

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Solution

The third proportional to 412,818.75 and 837,258.75 is: 1,698,087.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,818.75 : 837,258.75 = 837,258.75 : x
  2. Step 2: Convert to fraction form
    412,818.75/837,258.75 = 837,258.75/x
  3. Step 3: Cross multiply
    412,818.75x = 837,258.75 × 837,258.75
  4. Step 4: Simplify right side
    412,818.75x = 701,002,214,451.56
  5. Step 5: Solve for x
    x = 701,002,214,451.56/412,818.75
  6. Step 6: Final answer
    x = 1,698,087.15

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These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.