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Finding the Third Proportional to 324,857.25 and 782,619

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Solution

The third proportional to 324,857.25 and 782,619 is: 1,885,420.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,857.25 : 782,619 = 782,619 : x
  2. Step 2: Convert to fraction form
    324,857.25/782,619 = 782,619/x
  3. Step 3: Cross multiply
    324,857.25x = 782,619 × 782,619
  4. Step 4: Simplify right side
    324,857.25x = 612,492,499,161
  5. Step 5: Solve for x
    x = 612,492,499,161/324,857.25
  6. Step 6: Final answer
    x = 1,885,420.44

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.