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Finding the Third Proportional to 200,794 and 322,900

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Solution

The third proportional to 200,794 and 322,900 is: 519,260.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,794 : 322,900 = 322,900 : x
  2. Step 2: Convert to fraction form
    200,794/322,900 = 322,900/x
  3. Step 3: Cross multiply
    200,794x = 322,900 × 322,900
  4. Step 4: Simplify right side
    200,794x = 104,264,410,000
  5. Step 5: Solve for x
    x = 104,264,410,000/200,794
  6. Step 6: Final answer
    x = 519,260.59

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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.