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Finding the Third Proportional to 315,736 and 483,002

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Solution

The third proportional to 315,736 and 483,002 is: 738,879.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,736 : 483,002 = 483,002 : x
  2. Step 2: Convert to fraction form
    315,736/483,002 = 483,002/x
  3. Step 3: Cross multiply
    315,736x = 483,002 × 483,002
  4. Step 4: Simplify right side
    315,736x = 233,290,932,004
  5. Step 5: Solve for x
    x = 233,290,932,004/315,736
  6. Step 6: Final answer
    x = 738,879.73

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.