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Finding the Third Proportional to 303,049 and 454,573.50

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Solution

The third proportional to 303,049 and 454,573.50 is: 681,860.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,049 : 454,573.50 = 454,573.50 : x
  2. Step 2: Convert to fraction form
    303,049/454,573.50 = 454,573.50/x
  3. Step 3: Cross multiply
    303,049x = 454,573.50 × 454,573.50
  4. Step 4: Simplify right side
    303,049x = 206,637,066,902.25
  5. Step 5: Solve for x
    x = 206,637,066,902.25/303,049
  6. Step 6: Final answer
    x = 681,860.25

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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.