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Finding the Third Proportional to 211,777 and 466,200

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Solution

The third proportional to 211,777 and 466,200 is: 1,026,279.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,777 : 466,200 = 466,200 : x
  2. Step 2: Convert to fraction form
    211,777/466,200 = 466,200/x
  3. Step 3: Cross multiply
    211,777x = 466,200 × 466,200
  4. Step 4: Simplify right side
    211,777x = 217,342,440,000
  5. Step 5: Solve for x
    x = 217,342,440,000/211,777
  6. Step 6: Final answer
    x = 1,026,279.72

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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.