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Finding the Third Proportional to 221,562.84 and 483,226.38

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Solution

The third proportional to 221,562.84 and 483,226.38 is: 1,053,911.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,562.84 : 483,226.38 = 483,226.38 : x
  2. Step 2: Convert to fraction form
    221,562.84/483,226.38 = 483,226.38/x
  3. Step 3: Cross multiply
    221,562.84x = 483,226.38 × 483,226.38
  4. Step 4: Simplify right side
    221,562.84x = 233,507,737,046.05
  5. Step 5: Solve for x
    x = 233,507,737,046.05/221,562.84
  6. Step 6: Final answer
    x = 1,053,911.99

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.