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Finding the Third Proportional to 209,597 and 454,639.25

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Solution

The third proportional to 209,597 and 454,639.25 is: 986,163.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,597 : 454,639.25 = 454,639.25 : x
  2. Step 2: Convert to fraction form
    209,597/454,639.25 = 454,639.25/x
  3. Step 3: Cross multiply
    209,597x = 454,639.25 × 454,639.25
  4. Step 4: Simplify right side
    209,597x = 206,696,847,640.56
  5. Step 5: Solve for x
    x = 206,696,847,640.56/209,597
  6. Step 6: Final answer
    x = 986,163.20

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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.