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Finding the Third Proportional to 226,770 and 494,985

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Solution

The third proportional to 226,770 and 494,985 is: 1,080,434.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,770 : 494,985 = 494,985 : x
  2. Step 2: Convert to fraction form
    226,770/494,985 = 494,985/x
  3. Step 3: Cross multiply
    226,770x = 494,985 × 494,985
  4. Step 4: Simplify right side
    226,770x = 245,010,150,225
  5. Step 5: Solve for x
    x = 245,010,150,225/226,770
  6. Step 6: Final answer
    x = 1,080,434.58

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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.