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Finding the Third Proportional to 324,777.09 and 713,216.39

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Solution

The third proportional to 324,777.09 and 713,216.39 is: 1,566,236.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,777.09 : 713,216.39 = 713,216.39 : x
  2. Step 2: Convert to fraction form
    324,777.09/713,216.39 = 713,216.39/x
  3. Step 3: Cross multiply
    324,777.09x = 713,216.39 × 713,216.39
  4. Step 4: Simplify right side
    324,777.09x = 508,677,619,856.15
  5. Step 5: Solve for x
    x = 508,677,619,856.15/324,777.09
  6. Step 6: Final answer
    x = 1,566,236.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.