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Finding the Third Proportional to 226,716 and 494,878.50

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Solution

The third proportional to 226,716 and 494,878.50 is: 1,080,226.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,716 : 494,878.50 = 494,878.50 : x
  2. Step 2: Convert to fraction form
    226,716/494,878.50 = 494,878.50/x
  3. Step 3: Cross multiply
    226,716x = 494,878.50 × 494,878.50
  4. Step 4: Simplify right side
    226,716x = 244,904,729,762.25
  5. Step 5: Solve for x
    x = 244,904,729,762.25/226,716
  6. Step 6: Final answer
    x = 1,080,226.93

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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.