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Finding the Third Proportional to 332,815.50 and 728,601.75

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Solution

The third proportional to 332,815.50 and 728,601.75 is: 1,595,059.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,815.50 : 728,601.75 = 728,601.75 : x
  2. Step 2: Convert to fraction form
    332,815.50/728,601.75 = 728,601.75/x
  3. Step 3: Cross multiply
    332,815.50x = 728,601.75 × 728,601.75
  4. Step 4: Simplify right side
    332,815.50x = 530,860,510,103.06
  5. Step 5: Solve for x
    x = 530,860,510,103.06/332,815.50
  6. Step 6: Final answer
    x = 1,595,059.46

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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.