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Finding the Third Proportional to 300,726 and 648,463.50

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Solution

The third proportional to 300,726 and 648,463.50 is: 1,398,299.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,726 : 648,463.50 = 648,463.50 : x
  2. Step 2: Convert to fraction form
    300,726/648,463.50 = 648,463.50/x
  3. Step 3: Cross multiply
    300,726x = 648,463.50 × 648,463.50
  4. Step 4: Simplify right side
    300,726x = 420,504,910,832.25
  5. Step 5: Solve for x
    x = 420,504,910,832.25/300,726
  6. Step 6: Final answer
    x = 1,398,299.15

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.