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Finding the Third Proportional to 332,645 and 731,722

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Solution

The third proportional to 332,645 and 731,722 is: 1,609,575.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,645 : 731,722 = 731,722 : x
  2. Step 2: Convert to fraction form
    332,645/731,722 = 731,722/x
  3. Step 3: Cross multiply
    332,645x = 731,722 × 731,722
  4. Step 4: Simplify right side
    332,645x = 535,417,085,284
  5. Step 5: Solve for x
    x = 535,417,085,284/332,645
  6. Step 6: Final answer
    x = 1,609,575.03

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.