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Finding the Third Proportional to 300,648 and 483,553.50

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Solution

The third proportional to 300,648 and 483,553.50 is: 777,733.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,648 : 483,553.50 = 483,553.50 : x
  2. Step 2: Convert to fraction form
    300,648/483,553.50 = 483,553.50/x
  3. Step 3: Cross multiply
    300,648x = 483,553.50 × 483,553.50
  4. Step 4: Simplify right side
    300,648x = 233,823,987,362.25
  5. Step 5: Solve for x
    x = 233,823,987,362.25/300,648
  6. Step 6: Final answer
    x = 777,733.39

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.