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Finding the Third Proportional to 208,096 and 447,755

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Solution

The third proportional to 208,096 and 447,755 is: 963,423.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,096 : 447,755 = 447,755 : x
  2. Step 2: Convert to fraction form
    208,096/447,755 = 447,755/x
  3. Step 3: Cross multiply
    208,096x = 447,755 × 447,755
  4. Step 4: Simplify right side
    208,096x = 200,484,540,025
  5. Step 5: Solve for x
    x = 200,484,540,025/208,096
  6. Step 6: Final answer
    x = 963,423.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.