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Finding the Third Proportional to 325,586 and 509,214

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Solution

The third proportional to 325,586 and 509,214 is: 796,406.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,586 : 509,214 = 509,214 : x
  2. Step 2: Convert to fraction form
    325,586/509,214 = 509,214/x
  3. Step 3: Cross multiply
    325,586x = 509,214 × 509,214
  4. Step 4: Simplify right side
    325,586x = 259,298,897,796
  5. Step 5: Solve for x
    x = 259,298,897,796/325,586
  6. Step 6: Final answer
    x = 796,406.78

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.