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Finding the Third Proportional to 332,805.50 and 727,818.50

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Solution

The third proportional to 332,805.50 and 727,818.50 is: 1,591,679.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,805.50 : 727,818.50 = 727,818.50 : x
  2. Step 2: Convert to fraction form
    332,805.50/727,818.50 = 727,818.50/x
  3. Step 3: Cross multiply
    332,805.50x = 727,818.50 × 727,818.50
  4. Step 4: Simplify right side
    332,805.50x = 529,719,768,942.25
  5. Step 5: Solve for x
    x = 529,719,768,942.25/332,805.50
  6. Step 6: Final answer
    x = 1,591,679.73

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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.