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Finding the Third Proportional to 228,723.75 and 501,754.50

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Solution

The third proportional to 228,723.75 and 501,754.50 is: 1,100,705.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,723.75 : 501,754.50 = 501,754.50 : x
  2. Step 2: Convert to fraction form
    228,723.75/501,754.50 = 501,754.50/x
  3. Step 3: Cross multiply
    228,723.75x = 501,754.50 × 501,754.50
  4. Step 4: Simplify right side
    228,723.75x = 251,757,578,270.25
  5. Step 5: Solve for x
    x = 251,757,578,270.25/228,723.75
  6. Step 6: Final answer
    x = 1,100,705.89

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.