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Finding the Third Proportional to 324,359.44 and 498,841.03

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Solution

The third proportional to 324,359.44 and 498,841.03 is: 767,180.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,359.44 : 498,841.03 = 498,841.03 : x
  2. Step 2: Convert to fraction form
    324,359.44/498,841.03 = 498,841.03/x
  3. Step 3: Cross multiply
    324,359.44x = 498,841.03 × 498,841.03
  4. Step 4: Simplify right side
    324,359.44x = 248,842,374,458.56
  5. Step 5: Solve for x
    x = 248,842,374,458.56/324,359.44
  6. Step 6: Final answer
    x = 767,180.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.