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Finding the Third Proportional to 204,540 and 447,360

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Solution

The third proportional to 204,540 and 447,360 is: 978,444.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,540 : 447,360 = 447,360 : x
  2. Step 2: Convert to fraction form
    204,540/447,360 = 447,360/x
  3. Step 3: Cross multiply
    204,540x = 447,360 × 447,360
  4. Step 4: Simplify right side
    204,540x = 200,130,969,600
  5. Step 5: Solve for x
    x = 200,130,969,600/204,540
  6. Step 6: Final answer
    x = 978,444.17

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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.