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Finding the Third Proportional to 325,998.75 and 498,684.38

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Solution

The third proportional to 325,998.75 and 498,684.38 is: 762,843.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,998.75 : 498,684.38 = 498,684.38 : x
  2. Step 2: Convert to fraction form
    325,998.75/498,684.38 = 498,684.38/x
  3. Step 3: Cross multiply
    325,998.75x = 498,684.38 × 498,684.38
  4. Step 4: Simplify right side
    325,998.75x = 248,686,105,869.14
  5. Step 5: Solve for x
    x = 248,686,105,869.14/325,998.75
  6. Step 6: Final answer
    x = 762,843.74

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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.