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Finding the Third Proportional to 275,224.50 and 423,164.25

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Solution

The third proportional to 275,224.50 and 423,164.25 is: 650,625.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,224.50 : 423,164.25 = 423,164.25 : x
  2. Step 2: Convert to fraction form
    275,224.50/423,164.25 = 423,164.25/x
  3. Step 3: Cross multiply
    275,224.50x = 423,164.25 × 423,164.25
  4. Step 4: Simplify right side
    275,224.50x = 179,067,982,478.06
  5. Step 5: Solve for x
    x = 179,067,982,478.06/275,224.50
  6. Step 6: Final answer
    x = 650,625.15

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.