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Finding the Third Proportional to 229,567 and 498,449

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Solution

The third proportional to 229,567 and 498,449 is: 1,082,260.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,567 : 498,449 = 498,449 : x
  2. Step 2: Convert to fraction form
    229,567/498,449 = 498,449/x
  3. Step 3: Cross multiply
    229,567x = 498,449 × 498,449
  4. Step 4: Simplify right side
    229,567x = 248,451,405,601
  5. Step 5: Solve for x
    x = 248,451,405,601/229,567
  6. Step 6: Final answer
    x = 1,082,260.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.