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Finding the Third Proportional to 381,903.75 and 837,193.50

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Solution

The third proportional to 381,903.75 and 837,193.50 is: 1,835,260.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,903.75 : 837,193.50 = 837,193.50 : x
  2. Step 2: Convert to fraction form
    381,903.75/837,193.50 = 837,193.50/x
  3. Step 3: Cross multiply
    381,903.75x = 837,193.50 × 837,193.50
  4. Step 4: Simplify right side
    381,903.75x = 700,892,956,442.25
  5. Step 5: Solve for x
    x = 700,892,956,442.25/381,903.75
  6. Step 6: Final answer
    x = 1,835,260.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.