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Finding the Third Proportional to 212,026 and 461,449

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Solution

The third proportional to 212,026 and 461,449 is: 1,004,288.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,026 : 461,449 = 461,449 : x
  2. Step 2: Convert to fraction form
    212,026/461,449 = 461,449/x
  3. Step 3: Cross multiply
    212,026x = 461,449 × 461,449
  4. Step 4: Simplify right side
    212,026x = 212,935,179,601
  5. Step 5: Solve for x
    x = 212,935,179,601/212,026
  6. Step 6: Final answer
    x = 1,004,288.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.