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Finding the Third Proportional to 187,429 and 404,795

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Solution

The third proportional to 187,429 and 404,795 is: 874,245.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,429 : 404,795 = 404,795 : x
  2. Step 2: Convert to fraction form
    187,429/404,795 = 404,795/x
  3. Step 3: Cross multiply
    187,429x = 404,795 × 404,795
  4. Step 4: Simplify right side
    187,429x = 163,858,992,025
  5. Step 5: Solve for x
    x = 163,858,992,025/187,429
  6. Step 6: Final answer
    x = 874,245.67

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.