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Finding the Third Proportional to 332,652 and 722,166

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Solution

The third proportional to 332,652 and 722,166 is: 1,567,775.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,652 : 722,166 = 722,166 : x
  2. Step 2: Convert to fraction form
    332,652/722,166 = 722,166/x
  3. Step 3: Cross multiply
    332,652x = 722,166 × 722,166
  4. Step 4: Simplify right side
    332,652x = 521,523,731,556
  5. Step 5: Solve for x
    x = 521,523,731,556/332,652
  6. Step 6: Final answer
    x = 1,567,775.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.