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Finding the Third Proportional to 394,890.19 and 834,340.50

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Solution

The third proportional to 394,890.19 and 834,340.50 is: 1,762,829.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,890.19 : 834,340.50 = 834,340.50 : x
  2. Step 2: Convert to fraction form
    394,890.19/834,340.50 = 834,340.50/x
  3. Step 3: Cross multiply
    394,890.19x = 834,340.50 × 834,340.50
  4. Step 4: Simplify right side
    394,890.19x = 696,124,069,940.25
  5. Step 5: Solve for x
    x = 696,124,069,940.25/394,890.19
  6. Step 6: Final answer
    x = 1,762,829.50

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.