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Finding the Third Proportional to 204,806 and 432,975.50

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Solution

The third proportional to 204,806 and 432,975.50 is: 915,343.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,806 : 432,975.50 = 432,975.50 : x
  2. Step 2: Convert to fraction form
    204,806/432,975.50 = 432,975.50/x
  3. Step 3: Cross multiply
    204,806x = 432,975.50 × 432,975.50
  4. Step 4: Simplify right side
    204,806x = 187,467,783,600.25
  5. Step 5: Solve for x
    x = 187,467,783,600.25/204,806
  6. Step 6: Final answer
    x = 915,343.22

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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.