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Finding the Third Proportional to 300,018.75 and 422,013.75

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Solution

The third proportional to 300,018.75 and 422,013.75 is: 593,614.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,018.75 : 422,013.75 = 422,013.75 : x
  2. Step 2: Convert to fraction form
    300,018.75/422,013.75 = 422,013.75/x
  3. Step 3: Cross multiply
    300,018.75x = 422,013.75 × 422,013.75
  4. Step 4: Simplify right side
    300,018.75x = 178,095,605,189.06
  5. Step 5: Solve for x
    x = 178,095,605,189.06/300,018.75
  6. Step 6: Final answer
    x = 593,614.92

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.