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Finding the Third Proportional to 334,634 and 538,684

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Solution

The third proportional to 334,634 and 538,684 is: 867,157.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,634 : 538,684 = 538,684 : x
  2. Step 2: Convert to fraction form
    334,634/538,684 = 538,684/x
  3. Step 3: Cross multiply
    334,634x = 538,684 × 538,684
  4. Step 4: Simplify right side
    334,634x = 290,180,451,856
  5. Step 5: Solve for x
    x = 290,180,451,856/334,634
  6. Step 6: Final answer
    x = 867,157.71

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.