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Finding the Third Proportional to 334,422 and 523,827

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Solution

The third proportional to 334,422 and 523,827 is: 820,504.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,422 : 523,827 = 523,827 : x
  2. Step 2: Convert to fraction form
    334,422/523,827 = 523,827/x
  3. Step 3: Cross multiply
    334,422x = 523,827 × 523,827
  4. Step 4: Simplify right side
    334,422x = 274,394,725,929
  5. Step 5: Solve for x
    x = 274,394,725,929/334,422
  6. Step 6: Final answer
    x = 820,504.41

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.