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Finding the Third Proportional to 214,617 and 462,447

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Solution

The third proportional to 214,617 and 462,447 is: 996,459.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,617 : 462,447 = 462,447 : x
  2. Step 2: Convert to fraction form
    214,617/462,447 = 462,447/x
  3. Step 3: Cross multiply
    214,617x = 462,447 × 462,447
  4. Step 4: Simplify right side
    214,617x = 213,857,227,809
  5. Step 5: Solve for x
    x = 213,857,227,809/214,617
  6. Step 6: Final answer
    x = 996,459.87

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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.