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Finding the Third Proportional to 204,250.50 and 447,259.50

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Solution

The third proportional to 204,250.50 and 447,259.50 is: 979,390.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,250.50 : 447,259.50 = 447,259.50 : x
  2. Step 2: Convert to fraction form
    204,250.50/447,259.50 = 447,259.50/x
  3. Step 3: Cross multiply
    204,250.50x = 447,259.50 × 447,259.50
  4. Step 4: Simplify right side
    204,250.50x = 200,041,060,340.25
  5. Step 5: Solve for x
    x = 200,041,060,340.25/204,250.50
  6. Step 6: Final answer
    x = 979,390.80

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.