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Finding the Third Proportional to 211,756 and 465,493

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Solution

The third proportional to 211,756 and 465,493 is: 1,023,270.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,756 : 465,493 = 465,493 : x
  2. Step 2: Convert to fraction form
    211,756/465,493 = 465,493/x
  3. Step 3: Cross multiply
    211,756x = 465,493 × 465,493
  4. Step 4: Simplify right side
    211,756x = 216,683,733,049
  5. Step 5: Solve for x
    x = 216,683,733,049/211,756
  6. Step 6: Final answer
    x = 1,023,270.81

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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.