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Finding the Third Proportional to 344,000 and 518,016

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Solution

The third proportional to 344,000 and 518,016 is: 780,059.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,000 : 518,016 = 518,016 : x
  2. Step 2: Convert to fraction form
    344,000/518,016 = 518,016/x
  3. Step 3: Cross multiply
    344,000x = 518,016 × 518,016
  4. Step 4: Simplify right side
    344,000x = 268,340,576,256
  5. Step 5: Solve for x
    x = 268,340,576,256/344,000
  6. Step 6: Final answer
    x = 780,059.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.