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Finding the Third Proportional to 244,140 and 365,969

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Solution

The third proportional to 244,140 and 365,969 is: 548,592.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,140 : 365,969 = 365,969 : x
  2. Step 2: Convert to fraction form
    244,140/365,969 = 365,969/x
  3. Step 3: Cross multiply
    244,140x = 365,969 × 365,969
  4. Step 4: Simplify right side
    244,140x = 133,933,308,961
  5. Step 5: Solve for x
    x = 133,933,308,961/244,140
  6. Step 6: Final answer
    x = 548,592.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.