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Finding the Third Proportional to 203,664.38 and 447,446.53

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Solution

The third proportional to 203,664.38 and 447,446.53 is: 983,031.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,664.38 : 447,446.53 = 447,446.53 : x
  2. Step 2: Convert to fraction form
    203,664.38/447,446.53 = 447,446.53/x
  3. Step 3: Cross multiply
    203,664.38x = 447,446.53 × 447,446.53
  4. Step 4: Simplify right side
    203,664.38x = 200,208,398,327.66
  5. Step 5: Solve for x
    x = 200,208,398,327.66/203,664.38
  6. Step 6: Final answer
    x = 983,031.02

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.