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Finding the Third Proportional to 279,654 and 605,964

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Solution

The third proportional to 279,654 and 605,964 is: 1,313,023.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,654 : 605,964 = 605,964 : x
  2. Step 2: Convert to fraction form
    279,654/605,964 = 605,964/x
  3. Step 3: Cross multiply
    279,654x = 605,964 × 605,964
  4. Step 4: Simplify right side
    279,654x = 367,192,369,296
  5. Step 5: Solve for x
    x = 367,192,369,296/279,654
  6. Step 6: Final answer
    x = 1,313,023.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.