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Finding the Third Proportional to 213,595 and 454,797

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Solution

The third proportional to 213,595 and 454,797 is: 968,376.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,595 : 454,797 = 454,797 : x
  2. Step 2: Convert to fraction form
    213,595/454,797 = 454,797/x
  3. Step 3: Cross multiply
    213,595x = 454,797 × 454,797
  4. Step 4: Simplify right side
    213,595x = 206,840,311,209
  5. Step 5: Solve for x
    x = 206,840,311,209/213,595
  6. Step 6: Final answer
    x = 968,376.18

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.