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Finding the Third Proportional to 229,856 and 496,608

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Solution

The third proportional to 229,856 and 496,608 is: 1,072,930.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,856 : 496,608 = 496,608 : x
  2. Step 2: Convert to fraction form
    229,856/496,608 = 496,608/x
  3. Step 3: Cross multiply
    229,856x = 496,608 × 496,608
  4. Step 4: Simplify right side
    229,856x = 246,619,505,664
  5. Step 5: Solve for x
    x = 246,619,505,664/229,856
  6. Step 6: Final answer
    x = 1,072,930.47

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.