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Finding the Third Proportional to 325,737.56 and 498,293.44

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Solution

The third proportional to 325,737.56 and 498,293.44 is: 762,258.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,737.56 : 498,293.44 = 498,293.44 : x
  2. Step 2: Convert to fraction form
    325,737.56/498,293.44 = 498,293.44/x
  3. Step 3: Cross multiply
    325,737.56x = 498,293.44 × 498,293.44
  4. Step 4: Simplify right side
    325,737.56x = 248,296,349,855.57
  5. Step 5: Solve for x
    x = 248,296,349,855.57/325,737.56
  6. Step 6: Final answer
    x = 762,258.88

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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.