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Finding the Third Proportional to 325,606.50 and 509,257.13

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Solution

The third proportional to 325,606.50 and 509,257.13 is: 796,491.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,606.50 : 509,257.13 = 509,257.13 : x
  2. Step 2: Convert to fraction form
    325,606.50/509,257.13 = 509,257.13/x
  3. Step 3: Cross multiply
    325,606.50x = 509,257.13 × 509,257.13
  4. Step 4: Simplify right side
    325,606.50x = 259,342,819,363.27
  5. Step 5: Solve for x
    x = 259,342,819,363.27/325,606.50
  6. Step 6: Final answer
    x = 796,491.53

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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.