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Finding the Third Proportional to 209,738 and 454,468

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Solution

The third proportional to 209,738 and 454,468 is: 984,757.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,738 : 454,468 = 454,468 : x
  2. Step 2: Convert to fraction form
    209,738/454,468 = 454,468/x
  3. Step 3: Cross multiply
    209,738x = 454,468 × 454,468
  4. Step 4: Simplify right side
    209,738x = 206,541,163,024
  5. Step 5: Solve for x
    x = 206,541,163,024/209,738
  6. Step 6: Final answer
    x = 984,757.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.