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Finding the Third Proportional to 479,636 and 738,102

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Solution

The third proportional to 479,636 and 738,102 is: 1,135,850.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,636 : 738,102 = 738,102 : x
  2. Step 2: Convert to fraction form
    479,636/738,102 = 738,102/x
  3. Step 3: Cross multiply
    479,636x = 738,102 × 738,102
  4. Step 4: Simplify right side
    479,636x = 544,794,562,404
  5. Step 5: Solve for x
    x = 544,794,562,404/479,636
  6. Step 6: Final answer
    x = 1,135,850.02

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