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Finding the Third Proportional to 303,652 and 454,074

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Solution

The third proportional to 303,652 and 454,074 is: 679,011.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,652 : 454,074 = 454,074 : x
  2. Step 2: Convert to fraction form
    303,652/454,074 = 454,074/x
  3. Step 3: Cross multiply
    303,652x = 454,074 × 454,074
  4. Step 4: Simplify right side
    303,652x = 206,183,197,476
  5. Step 5: Solve for x
    x = 206,183,197,476/303,652
  6. Step 6: Final answer
    x = 679,011.49

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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.