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Finding the Third Proportional to 332,625 and 512,059.50

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Solution

The third proportional to 332,625 and 512,059.50 is: 788,289.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,625 : 512,059.50 = 512,059.50 : x
  2. Step 2: Convert to fraction form
    332,625/512,059.50 = 512,059.50/x
  3. Step 3: Cross multiply
    332,625x = 512,059.50 × 512,059.50
  4. Step 4: Simplify right side
    332,625x = 262,204,931,540.25
  5. Step 5: Solve for x
    x = 262,204,931,540.25/332,625
  6. Step 6: Final answer
    x = 788,289.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.