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Finding the Third Proportional to 209,184 and 454,632

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Solution

The third proportional to 209,184 and 454,632 is: 988,078.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,184 : 454,632 = 454,632 : x
  2. Step 2: Convert to fraction form
    209,184/454,632 = 454,632/x
  3. Step 3: Cross multiply
    209,184x = 454,632 × 454,632
  4. Step 4: Simplify right side
    209,184x = 206,690,255,424
  5. Step 5: Solve for x
    x = 206,690,255,424/209,184
  6. Step 6: Final answer
    x = 988,078.70

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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.