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Finding the Third Proportional to 303,661.50 and 649,356

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Solution

The third proportional to 303,661.50 and 649,356 is: 1,388,596.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,661.50 : 649,356 = 649,356 : x
  2. Step 2: Convert to fraction form
    303,661.50/649,356 = 649,356/x
  3. Step 3: Cross multiply
    303,661.50x = 649,356 × 649,356
  4. Step 4: Simplify right side
    303,661.50x = 421,663,214,736
  5. Step 5: Solve for x
    x = 421,663,214,736/303,661.50
  6. Step 6: Final answer
    x = 1,388,596.23

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.