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Finding the Third Proportional to 325,971.21 and 498,647.39

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Solution

The third proportional to 325,971.21 and 498,647.39 is: 762,795.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,971.21 : 498,647.39 = 498,647.39 : x
  2. Step 2: Convert to fraction form
    325,971.21/498,647.39 = 498,647.39/x
  3. Step 3: Cross multiply
    325,971.21x = 498,647.39 × 498,647.39
  4. Step 4: Simplify right side
    325,971.21x = 248,649,220,177.12
  5. Step 5: Solve for x
    x = 248,649,220,177.12/325,971.21
  6. Step 6: Final answer
    x = 762,795.03

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.