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Finding the Third Proportional to 204,452 and 447,040

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Solution

The third proportional to 204,452 and 447,040 is: 977,465.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,452 : 447,040 = 447,040 : x
  2. Step 2: Convert to fraction form
    204,452/447,040 = 447,040/x
  3. Step 3: Cross multiply
    204,452x = 447,040 × 447,040
  4. Step 4: Simplify right side
    204,452x = 199,844,761,600
  5. Step 5: Solve for x
    x = 199,844,761,600/204,452
  6. Step 6: Final answer
    x = 977,465.43

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Why These Related Problems?

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