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Finding the Third Proportional to 493,860 and 738,678

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Solution

The third proportional to 493,860 and 738,678 is: 1,104,858.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,860 : 738,678 = 738,678 : x
  2. Step 2: Convert to fraction form
    493,860/738,678 = 738,678/x
  3. Step 3: Cross multiply
    493,860x = 738,678 × 738,678
  4. Step 4: Simplify right side
    493,860x = 545,645,187,684
  5. Step 5: Solve for x
    x = 545,645,187,684/493,860
  6. Step 6: Final answer
    x = 1,104,858.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.