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Finding the Third Proportional to 204,823.13 and 419,485.50

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Solution

The third proportional to 204,823.13 and 419,485.50 is: 859,122.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,823.13 : 419,485.50 = 419,485.50 : x
  2. Step 2: Convert to fraction form
    204,823.13/419,485.50 = 419,485.50/x
  3. Step 3: Cross multiply
    204,823.13x = 419,485.50 × 419,485.50
  4. Step 4: Simplify right side
    204,823.13x = 175,968,084,710.25
  5. Step 5: Solve for x
    x = 175,968,084,710.25/204,823.13
  6. Step 6: Final answer
    x = 859,122.16

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.