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Finding the Third Proportional to 269,650.50 and 585,136.50

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Solution

The third proportional to 269,650.50 and 585,136.50 is: 1,269,735.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,650.50 : 585,136.50 = 585,136.50 : x
  2. Step 2: Convert to fraction form
    269,650.50/585,136.50 = 585,136.50/x
  3. Step 3: Cross multiply
    269,650.50x = 585,136.50 × 585,136.50
  4. Step 4: Simplify right side
    269,650.50x = 342,384,723,632.25
  5. Step 5: Solve for x
    x = 342,384,723,632.25/269,650.50
  6. Step 6: Final answer
    x = 1,269,735.17

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.