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Finding the Third Proportional to 493,626 and 758,400

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Solution

The third proportional to 493,626 and 758,400 is: 1,165,195.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,626 : 758,400 = 758,400 : x
  2. Step 2: Convert to fraction form
    493,626/758,400 = 758,400/x
  3. Step 3: Cross multiply
    493,626x = 758,400 × 758,400
  4. Step 4: Simplify right side
    493,626x = 575,170,560,000
  5. Step 5: Solve for x
    x = 575,170,560,000/493,626
  6. Step 6: Final answer
    x = 1,165,195.03

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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.