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Finding the Third Proportional to 303,096 and 454,644

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Solution

The third proportional to 303,096 and 454,644 is: 681,966

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,096 : 454,644 = 454,644 : x
  2. Step 2: Convert to fraction form
    303,096/454,644 = 454,644/x
  3. Step 3: Cross multiply
    303,096x = 454,644 × 454,644
  4. Step 4: Simplify right side
    303,096x = 206,701,166,736
  5. Step 5: Solve for x
    x = 206,701,166,736/303,096
  6. Step 6: Final answer
    x = 681,966

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.