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Finding the Third Proportional to 250,727 and 529,129.50

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Solution

The third proportional to 250,727 and 529,129.50 is: 1,116,664.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,727 : 529,129.50 = 529,129.50 : x
  2. Step 2: Convert to fraction form
    250,727/529,129.50 = 529,129.50/x
  3. Step 3: Cross multiply
    250,727x = 529,129.50 × 529,129.50
  4. Step 4: Simplify right side
    250,727x = 279,978,027,770.25
  5. Step 5: Solve for x
    x = 279,978,027,770.25/250,727
  6. Step 6: Final answer
    x = 1,116,664.85

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.