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Finding the Third Proportional to 202,821.75 and 432,789.75

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Solution

The third proportional to 202,821.75 and 432,789.75 is: 923,505.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,821.75 : 432,789.75 = 432,789.75 : x
  2. Step 2: Convert to fraction form
    202,821.75/432,789.75 = 432,789.75/x
  3. Step 3: Cross multiply
    202,821.75x = 432,789.75 × 432,789.75
  4. Step 4: Simplify right side
    202,821.75x = 187,306,967,705.06
  5. Step 5: Solve for x
    x = 187,306,967,705.06/202,821.75
  6. Step 6: Final answer
    x = 923,505.33

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.