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Finding the Third Proportional to 315,711 and 481,446

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Solution

The third proportional to 315,711 and 481,446 is: 734,184.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,711 : 481,446 = 481,446 : x
  2. Step 2: Convert to fraction form
    315,711/481,446 = 481,446/x
  3. Step 3: Cross multiply
    315,711x = 481,446 × 481,446
  4. Step 4: Simplify right side
    315,711x = 231,790,250,916
  5. Step 5: Solve for x
    x = 231,790,250,916/315,711
  6. Step 6: Final answer
    x = 734,184.91

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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.