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Finding the Third Proportional to 307,209 and 649,463.25

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Solution

The third proportional to 307,209 and 649,463.25 is: 1,373,014.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,209 : 649,463.25 = 649,463.25 : x
  2. Step 2: Convert to fraction form
    307,209/649,463.25 = 649,463.25/x
  3. Step 3: Cross multiply
    307,209x = 649,463.25 × 649,463.25
  4. Step 4: Simplify right side
    307,209x = 421,802,513,100.56
  5. Step 5: Solve for x
    x = 421,802,513,100.56/307,209
  6. Step 6: Final answer
    x = 1,373,014.83

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.