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Finding the Third Proportional to 222,985.50 and 464,440.50

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Solution

The third proportional to 222,985.50 and 464,440.50 is: 967,349.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,985.50 : 464,440.50 = 464,440.50 : x
  2. Step 2: Convert to fraction form
    222,985.50/464,440.50 = 464,440.50/x
  3. Step 3: Cross multiply
    222,985.50x = 464,440.50 × 464,440.50
  4. Step 4: Simplify right side
    222,985.50x = 215,704,978,040.25
  5. Step 5: Solve for x
    x = 215,704,978,040.25/222,985.50
  6. Step 6: Final answer
    x = 967,349.80

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.