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Finding the Third Proportional to 214,956 and 461,623

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Solution

The third proportional to 214,956 and 461,623 is: 991,346.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,956 : 461,623 = 461,623 : x
  2. Step 2: Convert to fraction form
    214,956/461,623 = 461,623/x
  3. Step 3: Cross multiply
    214,956x = 461,623 × 461,623
  4. Step 4: Simplify right side
    214,956x = 213,095,794,129
  5. Step 5: Solve for x
    x = 213,095,794,129/214,956
  6. Step 6: Final answer
    x = 991,346.11

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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.