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Finding the Third Proportional to 222,116 and 499,978

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Solution

The third proportional to 222,116 and 499,978 is: 1,125,438.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,116 : 499,978 = 499,978 : x
  2. Step 2: Convert to fraction form
    222,116/499,978 = 499,978/x
  3. Step 3: Cross multiply
    222,116x = 499,978 × 499,978
  4. Step 4: Simplify right side
    222,116x = 249,978,000,484
  5. Step 5: Solve for x
    x = 249,978,000,484/222,116
  6. Step 6: Final answer
    x = 1,125,438.96

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These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.