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Finding the Third Proportional to 215,855 and 463,427

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Solution

The third proportional to 215,855 and 463,427 is: 994,948.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,855 : 463,427 = 463,427 : x
  2. Step 2: Convert to fraction form
    215,855/463,427 = 463,427/x
  3. Step 3: Cross multiply
    215,855x = 463,427 × 463,427
  4. Step 4: Simplify right side
    215,855x = 214,764,584,329
  5. Step 5: Solve for x
    x = 214,764,584,329/215,855
  6. Step 6: Final answer
    x = 994,948.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.