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Finding the Third Proportional to 319,131 and 681,150

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Solution

The third proportional to 319,131 and 681,150 is: 1,453,839.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,131 : 681,150 = 681,150 : x
  2. Step 2: Convert to fraction form
    319,131/681,150 = 681,150/x
  3. Step 3: Cross multiply
    319,131x = 681,150 × 681,150
  4. Step 4: Simplify right side
    319,131x = 463,965,322,500
  5. Step 5: Solve for x
    x = 463,965,322,500/319,131
  6. Step 6: Final answer
    x = 1,453,839.72

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.