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Finding the Third Proportional to 212,852 and 454,624

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Solution

The third proportional to 212,852 and 454,624 is: 971,017.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,852 : 454,624 = 454,624 : x
  2. Step 2: Convert to fraction form
    212,852/454,624 = 454,624/x
  3. Step 3: Cross multiply
    212,852x = 454,624 × 454,624
  4. Step 4: Simplify right side
    212,852x = 206,682,981,376
  5. Step 5: Solve for x
    x = 206,682,981,376/212,852
  6. Step 6: Final answer
    x = 971,017.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.