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Finding the Third Proportional to 206,937 and 324,833

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Solution

The third proportional to 206,937 and 324,833 is: 509,896.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,937 : 324,833 = 324,833 : x
  2. Step 2: Convert to fraction form
    206,937/324,833 = 324,833/x
  3. Step 3: Cross multiply
    206,937x = 324,833 × 324,833
  4. Step 4: Simplify right side
    206,937x = 105,516,477,889
  5. Step 5: Solve for x
    x = 105,516,477,889/206,937
  6. Step 6: Final answer
    x = 509,896.63

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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.