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Finding the Third Proportional to 234,794 and 502,825

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Solution

The third proportional to 234,794 and 502,825 is: 1,076,828.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,794 : 502,825 = 502,825 : x
  2. Step 2: Convert to fraction form
    234,794/502,825 = 502,825/x
  3. Step 3: Cross multiply
    234,794x = 502,825 × 502,825
  4. Step 4: Simplify right side
    234,794x = 252,832,980,625
  5. Step 5: Solve for x
    x = 252,832,980,625/234,794
  6. Step 6: Final answer
    x = 1,076,828.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.