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Finding the Third Proportional to 303,066 and 454,599

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Solution

The third proportional to 303,066 and 454,599 is: 681,898.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,066 : 454,599 = 454,599 : x
  2. Step 2: Convert to fraction form
    303,066/454,599 = 454,599/x
  3. Step 3: Cross multiply
    303,066x = 454,599 × 454,599
  4. Step 4: Simplify right side
    303,066x = 206,660,250,801
  5. Step 5: Solve for x
    x = 206,660,250,801/303,066
  6. Step 6: Final answer
    x = 681,898.50

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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.