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Finding the Third Proportional to 315,732.75 and 481,479.75

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Solution

The third proportional to 315,732.75 and 481,479.75 is: 734,237.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,732.75 : 481,479.75 = 481,479.75 : x
  2. Step 2: Convert to fraction form
    315,732.75/481,479.75 = 481,479.75/x
  3. Step 3: Cross multiply
    315,732.75x = 481,479.75 × 481,479.75
  4. Step 4: Simplify right side
    315,732.75x = 231,822,749,660.06
  5. Step 5: Solve for x
    x = 231,822,749,660.06/315,732.75
  6. Step 6: Final answer
    x = 734,237.26

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.