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Finding the Third Proportional to 209,560 and 454,096

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Solution

The third proportional to 209,560 and 454,096 is: 983,981.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,560 : 454,096 = 454,096 : x
  2. Step 2: Convert to fraction form
    209,560/454,096 = 454,096/x
  3. Step 3: Cross multiply
    209,560x = 454,096 × 454,096
  4. Step 4: Simplify right side
    209,560x = 206,203,177,216
  5. Step 5: Solve for x
    x = 206,203,177,216/209,560
  6. Step 6: Final answer
    x = 983,981.57

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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.