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Finding the Third Proportional to 211,822 and 466,612

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Solution

The third proportional to 211,822 and 466,612 is: 1,027,876.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,822 : 466,612 = 466,612 : x
  2. Step 2: Convert to fraction form
    211,822/466,612 = 466,612/x
  3. Step 3: Cross multiply
    211,822x = 466,612 × 466,612
  4. Step 4: Simplify right side
    211,822x = 217,726,758,544
  5. Step 5: Solve for x
    x = 217,726,758,544/211,822
  6. Step 6: Final answer
    x = 1,027,876.04

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.