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Finding the Third Proportional to 324,232.88 and 517,969.13

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Solution

The third proportional to 324,232.88 and 517,969.13 is: 827,467.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,232.88 : 517,969.13 = 517,969.13 : x
  2. Step 2: Convert to fraction form
    324,232.88/517,969.13 = 517,969.13/x
  3. Step 3: Cross multiply
    324,232.88x = 517,969.13 × 517,969.13
  4. Step 4: Simplify right side
    324,232.88x = 268,292,014,453.27
  5. Step 5: Solve for x
    x = 268,292,014,453.27/324,232.88
  6. Step 6: Final answer
    x = 827,467.03

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.