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Finding the Third Proportional to 483,840 and 752,256

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Solution

The third proportional to 483,840 and 752,256 is: 1,169,578.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,840 : 752,256 = 752,256 : x
  2. Step 2: Convert to fraction form
    483,840/752,256 = 752,256/x
  3. Step 3: Cross multiply
    483,840x = 752,256 × 752,256
  4. Step 4: Simplify right side
    483,840x = 565,889,089,536
  5. Step 5: Solve for x
    x = 565,889,089,536/483,840
  6. Step 6: Final answer
    x = 1,169,578.97

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.