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Finding the Third Proportional to 225,042.75 and 531,229.50

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Solution

The third proportional to 225,042.75 and 531,229.50 is: 1,254,005.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,042.75 : 531,229.50 = 531,229.50 : x
  2. Step 2: Convert to fraction form
    225,042.75/531,229.50 = 531,229.50/x
  3. Step 3: Cross multiply
    225,042.75x = 531,229.50 × 531,229.50
  4. Step 4: Simplify right side
    225,042.75x = 282,204,781,670.25
  5. Step 5: Solve for x
    x = 282,204,781,670.25/225,042.75
  6. Step 6: Final answer
    x = 1,254,005.21

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.