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Finding the Third Proportional to 769,057.50 and 1,685,736

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Solution

The third proportional to 769,057.50 and 1,685,736 is: 3,695,049.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,057.50 : 1,685,736 = 1,685,736 : x
  2. Step 2: Convert to fraction form
    769,057.50/1,685,736 = 1,685,736/x
  3. Step 3: Cross multiply
    769,057.50x = 1,685,736 × 1,685,736
  4. Step 4: Simplify right side
    769,057.50x = 2,841,705,861,696
  5. Step 5: Solve for x
    x = 2,841,705,861,696/769,057.50
  6. Step 6: Final answer
    x = 3,695,049.93

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.