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Finding the Third Proportional to 303,052 and 454,578

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Solution

The third proportional to 303,052 and 454,578 is: 681,867

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,052 : 454,578 = 454,578 : x
  2. Step 2: Convert to fraction form
    303,052/454,578 = 454,578/x
  3. Step 3: Cross multiply
    303,052x = 454,578 × 454,578
  4. Step 4: Simplify right side
    303,052x = 206,641,158,084
  5. Step 5: Solve for x
    x = 206,641,158,084/303,052
  6. Step 6: Final answer
    x = 681,867

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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.