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Finding the Third Proportional to 491,170 and 733,722

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Solution

The third proportional to 491,170 and 733,722 is: 1,096,052.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,170 : 733,722 = 733,722 : x
  2. Step 2: Convert to fraction form
    491,170/733,722 = 733,722/x
  3. Step 3: Cross multiply
    491,170x = 733,722 × 733,722
  4. Step 4: Simplify right side
    491,170x = 538,347,973,284
  5. Step 5: Solve for x
    x = 538,347,973,284/491,170
  6. Step 6: Final answer
    x = 1,096,052.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.