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Finding the Third Proportional to 303,684 and 649,405.50

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Solution

The third proportional to 303,684 and 649,405.50 is: 1,388,705.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,684 : 649,405.50 = 649,405.50 : x
  2. Step 2: Convert to fraction form
    303,684/649,405.50 = 649,405.50/x
  3. Step 3: Cross multiply
    303,684x = 649,405.50 × 649,405.50
  4. Step 4: Simplify right side
    303,684x = 421,727,503,430.25
  5. Step 5: Solve for x
    x = 421,727,503,430.25/303,684
  6. Step 6: Final answer
    x = 1,388,705.05

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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.