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Finding the Third Proportional to 207,005.63 and 421,623.56

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Solution

The third proportional to 207,005.63 and 421,623.56 is: 858,751.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,005.63 : 421,623.56 = 421,623.56 : x
  2. Step 2: Convert to fraction form
    207,005.63/421,623.56 = 421,623.56/x
  3. Step 3: Cross multiply
    207,005.63x = 421,623.56 × 421,623.56
  4. Step 4: Simplify right side
    207,005.63x = 177,766,428,455.19
  5. Step 5: Solve for x
    x = 177,766,428,455.19/207,005.63
  6. Step 6: Final answer
    x = 858,751.68

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.